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Finding the Fourth Proportional to 650,024.68, 974,889.39 and 312,893.17

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Solution

The fourth proportional to 650,024.68, 974,889.39 and 312,893.17 is: 469,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,024.68 : 974,889.39 = 312,893.17 : x
  2. Step 2: Convert to fraction form
    650,024.68/974,889.39 = 312,893.17/x
  3. Step 3: Cross multiply
    650,024.68x = 974,889.39 × 312,893.17
  4. Step 4: Simplify right side
    650,024.68x = 305,036,231,636.47
  5. Step 5: Solve for x
    x = 305,036,231,636.47/650,024.68
  6. Step 6: Final answer
    x = 469,268.69

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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.