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Finding the Fourth Proportional to 287,472.10, 431,372.19 and 110,106.40

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Solution

The fourth proportional to 287,472.10, 431,372.19 and 110,106.40 is: 165,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,472.10 : 431,372.19 = 110,106.40 : x
  2. Step 2: Convert to fraction form
    287,472.10/431,372.19 = 110,106.40/x
  3. Step 3: Cross multiply
    287,472.10x = 431,372.19 × 110,106.40
  4. Step 4: Simplify right side
    287,472.10x = 47,496,838,901.02
  5. Step 5: Solve for x
    x = 47,496,838,901.02/287,472.10
  6. Step 6: Final answer
    x = 165,222.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.