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Finding the Fourth Proportional to 497,784.29, 746,675.01 and 123,807.29

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Solution

The fourth proportional to 497,784.29, 746,675.01 and 123,807.29 is: 185,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,784.29 : 746,675.01 = 123,807.29 : x
  2. Step 2: Convert to fraction form
    497,784.29/746,675.01 = 123,807.29/x
  3. Step 3: Cross multiply
    497,784.29x = 746,675.01 × 123,807.29
  4. Step 4: Simplify right side
    497,784.29x = 92,443,805,765.45
  5. Step 5: Solve for x
    x = 92,443,805,765.45/497,784.29
  6. Step 6: Final answer
    x = 185,710.57

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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.