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Finding the Fourth Proportional to 513,293.29, 708,324.42 and 283,835.68

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Solution

The fourth proportional to 513,293.29, 708,324.42 and 283,835.68 is: 391,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,293.29 : 708,324.42 = 283,835.68 : x
  2. Step 2: Convert to fraction form
    513,293.29/708,324.42 = 283,835.68/x
  3. Step 3: Cross multiply
    513,293.29x = 708,324.42 × 283,835.68
  4. Step 4: Simplify right side
    513,293.29x = 201,047,743,411.31
  5. Step 5: Solve for x
    x = 201,047,743,411.31/513,293.29
  6. Step 6: Final answer
    x = 391,682.00

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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.