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Finding the Fourth Proportional to 488,358.86, 733,661.12 and 344,595.65

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Solution

The fourth proportional to 488,358.86, 733,661.12 and 344,595.65 is: 517,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,358.86 : 733,661.12 = 344,595.65 : x
  2. Step 2: Convert to fraction form
    488,358.86/733,661.12 = 344,595.65/x
  3. Step 3: Cross multiply
    488,358.86x = 733,661.12 × 344,595.65
  4. Step 4: Simplify right side
    488,358.86x = 252,816,427,719.31
  5. Step 5: Solve for x
    x = 252,816,427,719.31/488,358.86
  6. Step 6: Final answer
    x = 517,685.77

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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.