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Finding the Fourth Proportional to 513,149.46, 708,144.48 and 286,794.96

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Solution

The fourth proportional to 513,149.46, 708,144.48 and 286,794.96 is: 395,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,149.46 : 708,144.48 = 286,794.96 : x
  2. Step 2: Convert to fraction form
    513,149.46/708,144.48 = 286,794.96/x
  3. Step 3: Cross multiply
    513,149.46x = 708,144.48 × 286,794.96
  4. Step 4: Simplify right side
    513,149.46x = 203,092,266,381.85
  5. Step 5: Solve for x
    x = 203,092,266,381.85/513,149.46
  6. Step 6: Final answer
    x = 395,776.05

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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.