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Finding the Fourth Proportional to 413,162.64, 619,740.72 and 272,887.92

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Solution

The fourth proportional to 413,162.64, 619,740.72 and 272,887.92 is: 409,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,162.64 : 619,740.72 = 272,887.92 : x
  2. Step 2: Convert to fraction form
    413,162.64/619,740.72 = 272,887.92/x
  3. Step 3: Cross multiply
    413,162.64x = 619,740.72 × 272,887.92
  4. Step 4: Simplify right side
    413,162.64x = 169,119,756,020.10
  5. Step 5: Solve for x
    x = 169,119,756,020.10/413,162.64
  6. Step 6: Final answer
    x = 409,329.74

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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.