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Finding the Fourth Proportional to 567,290.46, 851,036.88 and 188,233.92

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Solution

The fourth proportional to 567,290.46, 851,036.88 and 188,233.92 is: 282,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,290.46 : 851,036.88 = 188,233.92 : x
  2. Step 2: Convert to fraction form
    567,290.46/851,036.88 = 188,233.92/x
  3. Step 3: Cross multiply
    567,290.46x = 851,036.88 × 188,233.92
  4. Step 4: Simplify right side
    567,290.46x = 160,194,007,986.97
  5. Step 5: Solve for x
    x = 160,194,007,986.97/567,290.46
  6. Step 6: Final answer
    x = 282,384.46

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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.