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Finding the Fourth Proportional to 384,177.70, 576,266.55 and 346,123.90

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Solution

The fourth proportional to 384,177.70, 576,266.55 and 346,123.90 is: 519,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,177.70 : 576,266.55 = 346,123.90 : x
  2. Step 2: Convert to fraction form
    384,177.70/576,266.55 = 346,123.90/x
  3. Step 3: Cross multiply
    384,177.70x = 576,266.55 × 346,123.90
  4. Step 4: Simplify right side
    384,177.70x = 199,459,625,725.55
  5. Step 5: Solve for x
    x = 199,459,625,725.55/384,177.70
  6. Step 6: Final answer
    x = 519,185.85

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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.