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Finding the Fourth Proportional to 497,298.30, 745,947.45 and 123,321.30

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Solution

The fourth proportional to 497,298.30, 745,947.45 and 123,321.30 is: 184,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,298.30 : 745,947.45 = 123,321.30 : x
  2. Step 2: Convert to fraction form
    497,298.30/745,947.45 = 123,321.30/x
  3. Step 3: Cross multiply
    497,298.30x = 745,947.45 × 123,321.30
  4. Step 4: Simplify right side
    497,298.30x = 91,991,209,265.69
  5. Step 5: Solve for x
    x = 91,991,209,265.69/497,298.30
  6. Step 6: Final answer
    x = 184,981.95

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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.