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Finding the Fourth Proportional to 488,722.32, 733,334.40 and 232,844.76

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Solution

The fourth proportional to 488,722.32, 733,334.40 and 232,844.76 is: 349,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,722.32 : 733,334.40 = 232,844.76 : x
  2. Step 2: Convert to fraction form
    488,722.32/733,334.40 = 232,844.76/x
  3. Step 3: Cross multiply
    488,722.32x = 733,334.40 × 232,844.76
  4. Step 4: Simplify right side
    488,722.32x = 170,753,072,367.74
  5. Step 5: Solve for x
    x = 170,753,072,367.74/488,722.32
  6. Step 6: Final answer
    x = 349,386.69

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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.