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Finding the Fourth Proportional to 384,111.70, 576,167.55 and 317,626.90

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Solution

The fourth proportional to 384,111.70, 576,167.55 and 317,626.90 is: 476,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,111.70 : 576,167.55 = 317,626.90 : x
  2. Step 2: Convert to fraction form
    384,111.70/576,167.55 = 317,626.90/x
  3. Step 3: Cross multiply
    384,111.70x = 576,167.55 × 317,626.90
  4. Step 4: Simplify right side
    384,111.70x = 183,006,312,787.10
  5. Step 5: Solve for x
    x = 183,006,312,787.10/384,111.70
  6. Step 6: Final answer
    x = 476,440.35

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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.