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Finding the Fourth Proportional to 650,697.40, 976,214.38 and 381,053.24

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Solution

The fourth proportional to 650,697.40, 976,214.38 and 381,053.24 is: 571,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,697.40 : 976,214.38 = 381,053.24 : x
  2. Step 2: Convert to fraction form
    650,697.40/976,214.38 = 381,053.24/x
  3. Step 3: Cross multiply
    650,697.40x = 976,214.38 × 381,053.24
  4. Step 4: Simplify right side
    650,697.40x = 371,989,652,433.59
  5. Step 5: Solve for x
    x = 371,989,652,433.59/650,697.40
  6. Step 6: Final answer
    x = 571,678.41

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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.