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Finding the Fourth Proportional to 500,187.32, 749,079.70 and 286,307

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Solution

The fourth proportional to 500,187.32, 749,079.70 and 286,307 is: 428,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,187.32 : 749,079.70 = 286,307 : x
  2. Step 2: Convert to fraction form
    500,187.32/749,079.70 = 286,307/x
  3. Step 3: Cross multiply
    500,187.32x = 749,079.70 × 286,307
  4. Step 4: Simplify right side
    500,187.32x = 214,466,761,667.90
  5. Step 5: Solve for x
    x = 214,466,761,667.90/500,187.32
  6. Step 6: Final answer
    x = 428,772.89

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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.