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Finding the Fourth Proportional to 286,031.28, 428,747.52 and 96,426.12

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Solution

The fourth proportional to 286,031.28, 428,747.52 and 96,426.12 is: 144,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,031.28 : 428,747.52 = 96,426.12 : x
  2. Step 2: Convert to fraction form
    286,031.28/428,747.52 = 96,426.12/x
  3. Step 3: Cross multiply
    286,031.28x = 428,747.52 × 96,426.12
  4. Step 4: Simplify right side
    286,031.28x = 41,342,459,813.22
  5. Step 5: Solve for x
    x = 41,342,459,813.22/286,031.28
  6. Step 6: Final answer
    x = 144,538.25

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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.