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Finding the Fourth Proportional to 562,354.32, 842,472.19 and 277,711.81

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Solution

The fourth proportional to 562,354.32, 842,472.19 and 277,711.81 is: 416,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,354.32 : 842,472.19 = 277,711.81 : x
  2. Step 2: Convert to fraction form
    562,354.32/842,472.19 = 277,711.81/x
  3. Step 3: Cross multiply
    562,354.32x = 842,472.19 × 277,711.81
  4. Step 4: Simplify right side
    562,354.32x = 233,964,476,759.56
  5. Step 5: Solve for x
    x = 233,964,476,759.56/562,354.32
  6. Step 6: Final answer
    x = 416,044.60

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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.