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Finding the Fourth Proportional to 413,166.64, 619,746.72 and 272,891.92

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Solution

The fourth proportional to 413,166.64, 619,746.72 and 272,891.92 is: 409,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,166.64 : 619,746.72 = 272,891.92 : x
  2. Step 2: Convert to fraction form
    413,166.64/619,746.72 = 272,891.92/x
  3. Step 3: Cross multiply
    413,166.64x = 619,746.72 × 272,891.92
  4. Step 4: Simplify right side
    413,166.64x = 169,123,872,334.50
  5. Step 5: Solve for x
    x = 169,123,872,334.50/413,166.64
  6. Step 6: Final answer
    x = 409,335.74

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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.