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Finding the Fourth Proportional to 472,893.20, 709,339.80 and 224,061.20

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Solution

The fourth proportional to 472,893.20, 709,339.80 and 224,061.20 is: 336,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,893.20 : 709,339.80 = 224,061.20 : x
  2. Step 2: Convert to fraction form
    472,893.20/709,339.80 = 224,061.20/x
  3. Step 3: Cross multiply
    472,893.20x = 709,339.80 × 224,061.20
  4. Step 4: Simplify right side
    472,893.20x = 158,935,526,795.76
  5. Step 5: Solve for x
    x = 158,935,526,795.76/472,893.20
  6. Step 6: Final answer
    x = 336,091.80

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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.