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Finding the Fourth Proportional to 475,698.29, 712,147.76 and 317,534.45

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Solution

The fourth proportional to 475,698.29, 712,147.76 and 317,534.45 is: 475,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,698.29 : 712,147.76 = 317,534.45 : x
  2. Step 2: Convert to fraction form
    475,698.29/712,147.76 = 317,534.45/x
  3. Step 3: Cross multiply
    475,698.29x = 712,147.76 × 317,534.45
  4. Step 4: Simplify right side
    475,698.29x = 226,131,445,702.66
  5. Step 5: Solve for x
    x = 226,131,445,702.66/475,698.29
  6. Step 6: Final answer
    x = 475,367.37

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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.