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Finding the Fourth Proportional to 753,416.76, 1,039,715.82 and 413,907

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Solution

The fourth proportional to 753,416.76, 1,039,715.82 and 413,907 is: 571,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,416.76 : 1,039,715.82 = 413,907 : x
  2. Step 2: Convert to fraction form
    753,416.76/1,039,715.82 = 413,907/x
  3. Step 3: Cross multiply
    753,416.76x = 1,039,715.82 × 413,907
  4. Step 4: Simplify right side
    753,416.76x = 430,345,655,908.74
  5. Step 5: Solve for x
    x = 430,345,655,908.74/753,416.76
  6. Step 6: Final answer
    x = 571,192.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.