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Finding the Fourth Proportional to 406,506.95, 560,964.69 and 234,432.17

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Solution

The fourth proportional to 406,506.95, 560,964.69 and 234,432.17 is: 323,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,506.95 : 560,964.69 = 234,432.17 : x
  2. Step 2: Convert to fraction form
    406,506.95/560,964.69 = 234,432.17/x
  3. Step 3: Cross multiply
    406,506.95x = 560,964.69 × 234,432.17
  4. Step 4: Simplify right side
    406,506.95x = 131,508,166,765.25
  5. Step 5: Solve for x
    x = 131,508,166,765.25/406,506.95
  6. Step 6: Final answer
    x = 323,507.80

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