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Finding the Fourth Proportional to 539,764.38, 744,938.01 and 448,960.14

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Solution

The fourth proportional to 539,764.38, 744,938.01 and 448,960.14 is: 619,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,764.38 : 744,938.01 = 448,960.14 : x
  2. Step 2: Convert to fraction form
    539,764.38/744,938.01 = 448,960.14/x
  3. Step 3: Cross multiply
    539,764.38x = 744,938.01 × 448,960.14
  4. Step 4: Simplify right side
    539,764.38x = 334,447,473,260.92
  5. Step 5: Solve for x
    x = 334,447,473,260.92/539,764.38
  6. Step 6: Final answer
    x = 619,617.53

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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.