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Finding the Fourth Proportional to 653,358.66, 980,074.89 and 232,634.53

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Solution

The fourth proportional to 653,358.66, 980,074.89 and 232,634.53 is: 348,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,358.66 : 980,074.89 = 232,634.53 : x
  2. Step 2: Convert to fraction form
    653,358.66/980,074.89 = 232,634.53/x
  3. Step 3: Cross multiply
    653,358.66x = 980,074.89 × 232,634.53
  4. Step 4: Simplify right side
    653,358.66x = 227,999,262,625.05
  5. Step 5: Solve for x
    x = 227,999,262,625.05/653,358.66
  6. Step 6: Final answer
    x = 348,964.94

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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.