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Finding the Fourth Proportional to 416,412.76, 574,654.18 and 225,430.20

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Solution

The fourth proportional to 416,412.76, 574,654.18 and 225,430.20 is: 311,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,412.76 : 574,654.18 = 225,430.20 : x
  2. Step 2: Convert to fraction form
    416,412.76/574,654.18 = 225,430.20/x
  3. Step 3: Cross multiply
    416,412.76x = 574,654.18 × 225,430.20
  4. Step 4: Simplify right side
    416,412.76x = 129,544,406,728.24
  5. Step 5: Solve for x
    x = 129,544,406,728.24/416,412.76
  6. Step 6: Final answer
    x = 311,096.15

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.