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Finding the Fourth Proportional to 513,292.29, 708,323.04 and 283,834.68

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Solution

The fourth proportional to 513,292.29, 708,323.04 and 283,834.68 is: 391,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,292.29 : 708,323.04 = 283,834.68 : x
  2. Step 2: Convert to fraction form
    513,292.29/708,323.04 = 283,834.68/x
  3. Step 3: Cross multiply
    513,292.29x = 708,323.04 × 283,834.68
  4. Step 4: Simplify right side
    513,292.29x = 201,046,643,395.03
  5. Step 5: Solve for x
    x = 201,046,643,395.03/513,292.29
  6. Step 6: Final answer
    x = 391,680.62

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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.