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Finding the Fourth Proportional to 472,957.40, 709,685.21 and 273,417.92

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Solution

The fourth proportional to 472,957.40, 709,685.21 and 273,417.92 is: 410,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,957.40 : 709,685.21 = 273,417.92 : x
  2. Step 2: Convert to fraction form
    472,957.40/709,685.21 = 273,417.92/x
  3. Step 3: Cross multiply
    472,957.40x = 709,685.21 × 273,417.92
  4. Step 4: Simplify right side
    472,957.40x = 194,040,653,972.96
  5. Step 5: Solve for x
    x = 194,040,653,972.96/472,957.40
  6. Step 6: Final answer
    x = 410,270.90

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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.