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Finding the Fourth Proportional to 521,024.48, 781,506.72 and 201,113.76

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Solution

The fourth proportional to 521,024.48, 781,506.72 and 201,113.76 is: 301,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,024.48 : 781,506.72 = 201,113.76 : x
  2. Step 2: Convert to fraction form
    521,024.48/781,506.72 = 201,113.76/x
  3. Step 3: Cross multiply
    521,024.48x = 781,506.72 × 201,113.76
  4. Step 4: Simplify right side
    521,024.48x = 157,171,754,924.47
  5. Step 5: Solve for x
    x = 157,171,754,924.47/521,024.48
  6. Step 6: Final answer
    x = 301,659.06

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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.