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Finding the Fourth Proportional to 501,709.14, 752,177.34 and 435,057.48

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Solution

The fourth proportional to 501,709.14, 752,177.34 and 435,057.48 is: 652,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,709.14 : 752,177.34 = 435,057.48 : x
  2. Step 2: Convert to fraction form
    501,709.14/752,177.34 = 435,057.48/x
  3. Step 3: Cross multiply
    501,709.14x = 752,177.34 × 435,057.48
  4. Step 4: Simplify right side
    501,709.14x = 327,240,378,053.50
  5. Step 5: Solve for x
    x = 327,240,378,053.50/501,709.14
  6. Step 6: Final answer
    x = 652,251.18

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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.