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Finding the Fourth Proportional to 286,240.33, 429,349.56 and 117,713.76

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Solution

The fourth proportional to 286,240.33, 429,349.56 and 117,713.76 is: 176,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,240.33 : 429,349.56 = 117,713.76 : x
  2. Step 2: Convert to fraction form
    286,240.33/429,349.56 = 117,713.76/x
  3. Step 3: Cross multiply
    286,240.33x = 429,349.56 × 117,713.76
  4. Step 4: Simplify right side
    286,240.33x = 50,540,351,061.95
  5. Step 5: Solve for x
    x = 50,540,351,061.95/286,240.33
  6. Step 6: Final answer
    x = 176,566.14

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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.