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Finding the Fourth Proportional to 315,084.80, 472,934.40 and 157,491.20

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Solution

The fourth proportional to 315,084.80, 472,934.40 and 157,491.20 is: 236,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,084.80 : 472,934.40 = 157,491.20 : x
  2. Step 2: Convert to fraction form
    315,084.80/472,934.40 = 157,491.20/x
  3. Step 3: Cross multiply
    315,084.80x = 472,934.40 × 157,491.20
  4. Step 4: Simplify right side
    315,084.80x = 74,483,006,177.28
  5. Step 5: Solve for x
    x = 74,483,006,177.28/315,084.80
  6. Step 6: Final answer
    x = 236,390.35

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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.