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Finding the Fourth Proportional to 497,646.90, 746,470.35 and 123,669.90

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Solution

The fourth proportional to 497,646.90, 746,470.35 and 123,669.90 is: 185,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,646.90 : 746,470.35 = 123,669.90 : x
  2. Step 2: Convert to fraction form
    497,646.90/746,470.35 = 123,669.90/x
  3. Step 3: Cross multiply
    497,646.90x = 746,470.35 × 123,669.90
  4. Step 4: Simplify right side
    497,646.90x = 92,315,913,537.47
  5. Step 5: Solve for x
    x = 92,315,913,537.47/497,646.90
  6. Step 6: Final answer
    x = 185,504.85

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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.