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Finding the Fourth Proportional to 657,347.44, 984,510.12 and 417,443.44

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Solution

The fourth proportional to 657,347.44, 984,510.12 and 417,443.44 is: 625,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,347.44 : 984,510.12 = 417,443.44 : x
  2. Step 2: Convert to fraction form
    657,347.44/984,510.12 = 417,443.44/x
  3. Step 3: Cross multiply
    657,347.44x = 984,510.12 × 417,443.44
  4. Step 4: Simplify right side
    657,347.44x = 410,977,291,207.61
  5. Step 5: Solve for x
    x = 410,977,291,207.61/657,347.44
  6. Step 6: Final answer
    x = 625,205.59

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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.