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Finding the Fourth Proportional to 650,250.96, 974,490.06 and 313,267.08

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Solution

The fourth proportional to 650,250.96, 974,490.06 and 313,267.08 is: 469,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,250.96 : 974,490.06 = 313,267.08 : x
  2. Step 2: Convert to fraction form
    650,250.96/974,490.06 = 313,267.08/x
  3. Step 3: Cross multiply
    650,250.96x = 974,490.06 × 313,267.08
  4. Step 4: Simplify right side
    650,250.96x = 305,275,655,585.23
  5. Step 5: Solve for x
    x = 305,275,655,585.23/650,250.96
  6. Step 6: Final answer
    x = 469,473.59

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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.