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Finding the Fourth Proportional to 416,416.93, 574,657.20 and 225,430.30

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Solution

The fourth proportional to 416,416.93, 574,657.20 and 225,430.30 is: 311,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,416.93 : 574,657.20 = 225,430.30 : x
  2. Step 2: Convert to fraction form
    416,416.93/574,657.20 = 225,430.30/x
  3. Step 3: Cross multiply
    416,416.93x = 574,657.20 × 225,430.30
  4. Step 4: Simplify right side
    416,416.93x = 129,545,144,993.16
  5. Step 5: Solve for x
    x = 129,545,144,993.16/416,416.93
  6. Step 6: Final answer
    x = 311,094.81

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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.