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Finding the Fourth Proportional to 580,112.80, 801,371.28 and 447,678.88

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Solution

The fourth proportional to 580,112.80, 801,371.28 and 447,678.88 is: 618,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,112.80 : 801,371.28 = 447,678.88 : x
  2. Step 2: Convert to fraction form
    580,112.80/801,371.28 = 447,678.88/x
  3. Step 3: Cross multiply
    580,112.80x = 801,371.28 × 447,678.88
  4. Step 4: Simplify right side
    580,112.80x = 358,756,997,094.57
  5. Step 5: Solve for x
    x = 358,756,997,094.57/580,112.80
  6. Step 6: Final answer
    x = 618,426.27

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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.