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Finding the Fourth Proportional to 516,513.17, 712,583.21 and 298,681.59

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Solution

The fourth proportional to 516,513.17, 712,583.21 and 298,681.59 is: 412,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,513.17 : 712,583.21 = 298,681.59 : x
  2. Step 2: Convert to fraction form
    516,513.17/712,583.21 = 298,681.59/x
  3. Step 3: Cross multiply
    516,513.17x = 712,583.21 × 298,681.59
  4. Step 4: Simplify right side
    516,513.17x = 212,835,486,170.10
  5. Step 5: Solve for x
    x = 212,835,486,170.10/516,513.17
  6. Step 6: Final answer
    x = 412,062.07

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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.