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Finding the Fourth Proportional to 475,702.29, 712,153.76 and 317,538.45

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Solution

The fourth proportional to 475,702.29, 712,153.76 and 317,538.45 is: 475,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,702.29 : 712,153.76 = 317,538.45 : x
  2. Step 2: Convert to fraction form
    475,702.29/712,153.76 = 317,538.45/x
  3. Step 3: Cross multiply
    475,702.29x = 712,153.76 × 317,538.45
  4. Step 4: Simplify right side
    475,702.29x = 226,136,199,524.38
  5. Step 5: Solve for x
    x = 226,136,199,524.38/475,702.29
  6. Step 6: Final answer
    x = 475,373.37

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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.