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Finding the Fourth Proportional to 475,710.30, 712,165.74 and 317,546.46

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Solution

The fourth proportional to 475,710.30, 712,165.74 and 317,546.46 is: 475,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,710.30 : 712,165.74 = 317,546.46 : x
  2. Step 2: Convert to fraction form
    475,710.30/712,165.74 = 317,546.46/x
  3. Step 3: Cross multiply
    475,710.30x = 712,165.74 × 317,546.46
  4. Step 4: Simplify right side
    475,710.30x = 226,145,709,670.28
  5. Step 5: Solve for x
    x = 226,145,709,670.28/475,710.30
  6. Step 6: Final answer
    x = 475,385.35

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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.