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Finding the Fourth Proportional to 580,006.40, 869,318.40 and 243,046.40

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Solution

The fourth proportional to 580,006.40, 869,318.40 and 243,046.40 is: 364,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,006.40 : 869,318.40 = 243,046.40 : x
  2. Step 2: Convert to fraction form
    580,006.40/869,318.40 = 243,046.40/x
  3. Step 3: Cross multiply
    580,006.40x = 869,318.40 × 243,046.40
  4. Step 4: Simplify right side
    580,006.40x = 211,284,707,573.76
  5. Step 5: Solve for x
    x = 211,284,707,573.76/580,006.40
  6. Step 6: Final answer
    x = 364,279.96

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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.