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Finding the Fourth Proportional to 614,720.80, 922,772.40 and 475,098.40

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Solution

The fourth proportional to 614,720.80, 922,772.40 and 475,098.40 is: 713,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,720.80 : 922,772.40 = 475,098.40 : x
  2. Step 2: Convert to fraction form
    614,720.80/922,772.40 = 475,098.40/x
  3. Step 3: Cross multiply
    614,720.80x = 922,772.40 × 475,098.40
  4. Step 4: Simplify right side
    614,720.80x = 438,407,690,804.16
  5. Step 5: Solve for x
    x = 438,407,690,804.16/614,720.80
  6. Step 6: Final answer
    x = 713,181.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.