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Finding the Fourth Proportional to 513,139.96, 708,112.23 and 283,682.65

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Solution

The fourth proportional to 513,139.96, 708,112.23 and 283,682.65 is: 391,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,139.96 : 708,112.23 = 283,682.65 : x
  2. Step 2: Convert to fraction form
    513,139.96/708,112.23 = 283,682.65/x
  3. Step 3: Cross multiply
    513,139.96x = 708,112.23 × 283,682.65
  4. Step 4: Simplify right side
    513,139.96x = 200,879,153,903.81
  5. Step 5: Solve for x
    x = 200,879,153,903.81/513,139.96
  6. Step 6: Final answer
    x = 391,470.49

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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.