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Finding the Fourth Proportional to 475,659, 712,985.76 and 175,947.12

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Solution

The fourth proportional to 475,659, 712,985.76 and 175,947.12 is: 263,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,659 : 712,985.76 = 175,947.12 : x
  2. Step 2: Convert to fraction form
    475,659/712,985.76 = 175,947.12/x
  3. Step 3: Cross multiply
    475,659x = 712,985.76 × 175,947.12
  4. Step 4: Simplify right side
    475,659x = 125,447,791,073.01
  5. Step 5: Solve for x
    x = 125,447,791,073.01/475,659
  6. Step 6: Final answer
    x = 263,734.72

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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.