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Finding the Fourth Proportional to 314,222.24, 471,326.97 and 77,566.97

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Solution

The fourth proportional to 314,222.24, 471,326.97 and 77,566.97 is: 116,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,222.24 : 471,326.97 = 77,566.97 : x
  2. Step 2: Convert to fraction form
    314,222.24/471,326.97 = 77,566.97/x
  3. Step 3: Cross multiply
    314,222.24x = 471,326.97 × 77,566.97
  4. Step 4: Simplify right side
    314,222.24x = 36,559,402,876.42
  5. Step 5: Solve for x
    x = 36,559,402,876.42/314,222.24
  6. Step 6: Final answer
    x = 116,348.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.