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Finding the Fourth Proportional to 516,012.17, 712,032.31 and 286,538.25

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Solution

The fourth proportional to 516,012.17, 712,032.31 and 286,538.25 is: 395,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,012.17 : 712,032.31 = 286,538.25 : x
  2. Step 2: Convert to fraction form
    516,012.17/712,032.31 = 286,538.25/x
  3. Step 3: Cross multiply
    516,012.17x = 712,032.31 × 286,538.25
  4. Step 4: Simplify right side
    516,012.17x = 204,024,493,019.05
  5. Step 5: Solve for x
    x = 204,024,493,019.05/516,012.17
  6. Step 6: Final answer
    x = 395,386.98

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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.