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Finding the Fourth Proportional to 466,029.33, 644,267.03 and 461,766.51

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Solution

The fourth proportional to 466,029.33, 644,267.03 and 461,766.51 is: 638,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,029.33 : 644,267.03 = 461,766.51 : x
  2. Step 2: Convert to fraction form
    466,029.33/644,267.03 = 461,766.51/x
  3. Step 3: Cross multiply
    466,029.33x = 644,267.03 × 461,766.51
  4. Step 4: Simplify right side
    466,029.33x = 297,500,935,642.33
  5. Step 5: Solve for x
    x = 297,500,935,642.33/466,029.33
  6. Step 6: Final answer
    x = 638,373.85

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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.