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Finding the Fourth Proportional to 704,124.05, 971,691.45 and 381,834.06

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Solution

The fourth proportional to 704,124.05, 971,691.45 and 381,834.06 is: 526,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,124.05 : 971,691.45 = 381,834.06 : x
  2. Step 2: Convert to fraction form
    704,124.05/971,691.45 = 381,834.06/x
  3. Step 3: Cross multiply
    704,124.05x = 971,691.45 × 381,834.06
  4. Step 4: Simplify right side
    704,124.05x = 371,024,891,420.79
  5. Step 5: Solve for x
    x = 371,024,891,420.79/704,124.05
  6. Step 6: Final answer
    x = 526,931.14

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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.