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Finding the Fourth Proportional to 564,520.59, 778,684.02 and 334,915.32

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Solution

The fourth proportional to 564,520.59, 778,684.02 and 334,915.32 is: 461,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,520.59 : 778,684.02 = 334,915.32 : x
  2. Step 2: Convert to fraction form
    564,520.59/778,684.02 = 334,915.32/x
  3. Step 3: Cross multiply
    564,520.59x = 778,684.02 × 334,915.32
  4. Step 4: Simplify right side
    564,520.59x = 260,793,207,737.19
  5. Step 5: Solve for x
    x = 260,793,207,737.19/564,520.59
  6. Step 6: Final answer
    x = 461,972.89

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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.