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Finding the Fourth Proportional to 384,083.20, 576,124.80 and 344,814.40

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Solution

The fourth proportional to 384,083.20, 576,124.80 and 344,814.40 is: 517,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,083.20 : 576,124.80 = 344,814.40 : x
  2. Step 2: Convert to fraction form
    384,083.20/576,124.80 = 344,814.40/x
  3. Step 3: Cross multiply
    384,083.20x = 576,124.80 × 344,814.40
  4. Step 4: Simplify right side
    384,083.20x = 198,656,127,237.12
  5. Step 5: Solve for x
    x = 198,656,127,237.12/384,083.20
  6. Step 6: Final answer
    x = 517,221.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.