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Finding the Fourth Proportional to 514,052.68, 709,308.34 and 322,930.76

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Solution

The fourth proportional to 514,052.68, 709,308.34 and 322,930.76 is: 445,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,052.68 : 709,308.34 = 322,930.76 : x
  2. Step 2: Convert to fraction form
    514,052.68/709,308.34 = 322,930.76/x
  3. Step 3: Cross multiply
    514,052.68x = 709,308.34 × 322,930.76
  4. Step 4: Simplify right side
    514,052.68x = 229,057,481,310.54
  5. Step 5: Solve for x
    x = 229,057,481,310.54/514,052.68
  6. Step 6: Final answer
    x = 445,591.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.