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Finding the Fourth Proportional to 497,356.38, 746,255.04 and 260,642.76

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Solution

The fourth proportional to 497,356.38, 746,255.04 and 260,642.76 is: 391,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,356.38 : 746,255.04 = 260,642.76 : x
  2. Step 2: Convert to fraction form
    497,356.38/746,255.04 = 260,642.76/x
  3. Step 3: Cross multiply
    497,356.38x = 746,255.04 × 260,642.76
  4. Step 4: Simplify right side
    497,356.38x = 194,505,973,289.51
  5. Step 5: Solve for x
    x = 194,505,973,289.51/497,356.38
  6. Step 6: Final answer
    x = 391,079.68

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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.