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Finding the Fourth Proportional to 514,218.96, 709,555.50 and 287,864.64

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Solution

The fourth proportional to 514,218.96, 709,555.50 and 287,864.64 is: 397,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,218.96 : 709,555.50 = 287,864.64 : x
  2. Step 2: Convert to fraction form
    514,218.96/709,555.50 = 287,864.64/x
  3. Step 3: Cross multiply
    514,218.96x = 709,555.50 × 287,864.64
  4. Step 4: Simplify right side
    514,218.96x = 204,255,938,567.52
  5. Step 5: Solve for x
    x = 204,255,938,567.52/514,218.96
  6. Step 6: Final answer
    x = 397,215.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.