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Finding the Fourth Proportional to 615,084.80, 923,318.40 and 475,462.40

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Solution

The fourth proportional to 615,084.80, 923,318.40 and 475,462.40 is: 713,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,084.80 : 923,318.40 = 475,462.40 : x
  2. Step 2: Convert to fraction form
    615,084.80/923,318.40 = 475,462.40/x
  3. Step 3: Cross multiply
    615,084.80x = 923,318.40 × 475,462.40
  4. Step 4: Simplify right side
    615,084.80x = 439,003,182,428.16
  5. Step 5: Solve for x
    x = 439,003,182,428.16/615,084.80
  6. Step 6: Final answer
    x = 713,727.90

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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.