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Finding the Fourth Proportional to 343,167.31, 514,026.82 and 275,332.08

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Solution

The fourth proportional to 343,167.31, 514,026.82 and 275,332.08 is: 412,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,167.31 : 514,026.82 = 275,332.08 : x
  2. Step 2: Convert to fraction form
    343,167.31/514,026.82 = 275,332.08/x
  3. Step 3: Cross multiply
    343,167.31x = 514,026.82 × 275,332.08
  4. Step 4: Simplify right side
    343,167.31x = 141,528,075,086.92
  5. Step 5: Solve for x
    x = 141,528,075,086.92/343,167.31
  6. Step 6: Final answer
    x = 412,417.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.