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Finding the Fourth Proportional to 432,572.48, 592,614.40 and 416,400.08

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Solution

The fourth proportional to 432,572.48, 592,614.40 and 416,400.08 is: 570,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,572.48 : 592,614.40 = 416,400.08 : x
  2. Step 2: Convert to fraction form
    432,572.48/592,614.40 = 416,400.08/x
  3. Step 3: Cross multiply
    432,572.48x = 592,614.40 × 416,400.08
  4. Step 4: Simplify right side
    432,572.48x = 246,764,683,569.15
  5. Step 5: Solve for x
    x = 246,764,683,569.15/432,572.48
  6. Step 6: Final answer
    x = 570,458.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.