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Finding the Fourth Proportional to 497,306.40, 745,959.60 and 123,329.40

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Solution

The fourth proportional to 497,306.40, 745,959.60 and 123,329.40 is: 184,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,306.40 : 745,959.60 = 123,329.40 : x
  2. Step 2: Convert to fraction form
    497,306.40/745,959.60 = 123,329.40/x
  3. Step 3: Cross multiply
    497,306.40x = 745,959.60 × 123,329.40
  4. Step 4: Simplify right side
    497,306.40x = 91,998,749,892.24
  5. Step 5: Solve for x
    x = 91,998,749,892.24/497,306.40
  6. Step 6: Final answer
    x = 184,994.10

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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.