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Finding the Fourth Proportional to 416,403.53, 574,638.71 and 225,416.93

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Solution

The fourth proportional to 416,403.53, 574,638.71 and 225,416.93 is: 311,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,403.53 : 574,638.71 = 225,416.93 : x
  2. Step 2: Convert to fraction form
    416,403.53/574,638.71 = 225,416.93/x
  3. Step 3: Cross multiply
    416,403.53x = 574,638.71 × 225,416.93
  4. Step 4: Simplify right side
    416,403.53x = 129,533,291,769.04
  5. Step 5: Solve for x
    x = 129,533,291,769.04/416,403.53
  6. Step 6: Final answer
    x = 311,076.35

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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.