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Finding the Fourth Proportional to 541,830.57, 747,699.49 and 296,816.38

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Solution

The fourth proportional to 541,830.57, 747,699.49 and 296,816.38 is: 409,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,830.57 : 747,699.49 = 296,816.38 : x
  2. Step 2: Convert to fraction form
    541,830.57/747,699.49 = 296,816.38/x
  3. Step 3: Cross multiply
    541,830.57x = 747,699.49 × 296,816.38
  4. Step 4: Simplify right side
    541,830.57x = 221,929,454,451.42
  5. Step 5: Solve for x
    x = 221,929,454,451.42/541,830.57
  6. Step 6: Final answer
    x = 409,591.98

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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.