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Finding the Fourth Proportional to 497,666.83, 746,499.84 and 123,689.83

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Solution

The fourth proportional to 497,666.83, 746,499.84 and 123,689.83 is: 185,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,666.83 : 746,499.84 = 123,689.83 : x
  2. Step 2: Convert to fraction form
    497,666.83/746,499.84 = 123,689.83/x
  3. Step 3: Cross multiply
    497,666.83x = 746,499.84 × 123,689.83
  4. Step 4: Simplify right side
    497,666.83x = 92,334,438,304.63
  5. Step 5: Solve for x
    x = 92,334,438,304.63/497,666.83
  6. Step 6: Final answer
    x = 185,534.64

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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.