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Finding the Fourth Proportional to 691,227, 1,037,248.74 and 291,841.92

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Solution

The fourth proportional to 691,227, 1,037,248.74 and 291,841.92 is: 437,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,227 : 1,037,248.74 = 291,841.92 : x
  2. Step 2: Convert to fraction form
    691,227/1,037,248.74 = 291,841.92/x
  3. Step 3: Cross multiply
    691,227x = 1,037,248.74 × 291,841.92
  4. Step 4: Simplify right side
    691,227x = 302,712,663,799.18
  5. Step 5: Solve for x
    x = 302,712,663,799.18/691,227
  6. Step 6: Final answer
    x = 437,935.24

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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.