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Finding the Fourth Proportional to 646,710.59, 970,481.06 and 433,719.02

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Solution

The fourth proportional to 646,710.59, 970,481.06 and 433,719.02 is: 650,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,710.59 : 970,481.06 = 433,719.02 : x
  2. Step 2: Convert to fraction form
    646,710.59/970,481.06 = 433,719.02/x
  3. Step 3: Cross multiply
    646,710.59x = 970,481.06 × 433,719.02
  4. Step 4: Simplify right side
    646,710.59x = 420,916,087,250.76
  5. Step 5: Solve for x
    x = 420,916,087,250.76/646,710.59
  6. Step 6: Final answer
    x = 650,856.96

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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.