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Finding the Fourth Proportional to 584,537.42, 806,432.12 and 339,480.46

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Solution

The fourth proportional to 584,537.42, 806,432.12 and 339,480.46 is: 468,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,537.42 : 806,432.12 = 339,480.46 : x
  2. Step 2: Convert to fraction form
    584,537.42/806,432.12 = 339,480.46/x
  3. Step 3: Cross multiply
    584,537.42x = 806,432.12 × 339,480.46
  4. Step 4: Simplify right side
    584,537.42x = 273,767,947,056.38
  5. Step 5: Solve for x
    x = 273,767,947,056.38/584,537.42
  6. Step 6: Final answer
    x = 468,349.74

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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.