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Finding the Fourth Proportional to 643,702.17, 965,643.51 and 194,372.10

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Solution

The fourth proportional to 643,702.17, 965,643.51 and 194,372.10 is: 291,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,702.17 : 965,643.51 = 194,372.10 : x
  2. Step 2: Convert to fraction form
    643,702.17/965,643.51 = 194,372.10/x
  3. Step 3: Cross multiply
    643,702.17x = 965,643.51 × 194,372.10
  4. Step 4: Simplify right side
    643,702.17x = 187,694,156,890.07
  5. Step 5: Solve for x
    x = 187,694,156,890.07/643,702.17
  6. Step 6: Final answer
    x = 291,585.40

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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.