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Finding the Fourth Proportional to 486,002.40, 729,003.60 and 441,715.65

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Solution

The fourth proportional to 486,002.40, 729,003.60 and 441,715.65 is: 662,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,002.40 : 729,003.60 = 441,715.65 : x
  2. Step 2: Convert to fraction form
    486,002.40/729,003.60 = 441,715.65/x
  3. Step 3: Cross multiply
    486,002.40x = 729,003.60 × 441,715.65
  4. Step 4: Simplify right side
    486,002.40x = 322,012,299,026.34
  5. Step 5: Solve for x
    x = 322,012,299,026.34/486,002.40
  6. Step 6: Final answer
    x = 662,573.48

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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.