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Finding the Fourth Proportional to 393,602.85, 543,156.30 and 232,509.66

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Solution

The fourth proportional to 393,602.85, 543,156.30 and 232,509.66 is: 320,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,602.85 : 543,156.30 = 232,509.66 : x
  2. Step 2: Convert to fraction form
    393,602.85/543,156.30 = 232,509.66/x
  3. Step 3: Cross multiply
    393,602.85x = 543,156.30 × 232,509.66
  4. Step 4: Simplify right side
    393,602.85x = 126,289,086,639.86
  5. Step 5: Solve for x
    x = 126,289,086,639.86/393,602.85
  6. Step 6: Final answer
    x = 320,854.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.