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Finding the Fourth Proportional to 650,389.08, 974,770.32 and 313,366.44

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Solution

The fourth proportional to 650,389.08, 974,770.32 and 313,366.44 is: 469,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,389.08 : 974,770.32 = 313,366.44 : x
  2. Step 2: Convert to fraction form
    650,389.08/974,770.32 = 313,366.44/x
  3. Step 3: Cross multiply
    650,389.08x = 974,770.32 × 313,366.44
  4. Step 4: Simplify right side
    650,389.08x = 305,460,304,996.06
  5. Step 5: Solve for x
    x = 305,460,304,996.06/650,389.08
  6. Step 6: Final answer
    x = 469,657.80

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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.