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Finding the Fourth Proportional to 343,167.39, 514,026.93 and 275,332.16

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Solution

The fourth proportional to 343,167.39, 514,026.93 and 275,332.16 is: 412,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,167.39 : 514,026.93 = 275,332.16 : x
  2. Step 2: Convert to fraction form
    343,167.39/514,026.93 = 275,332.16/x
  3. Step 3: Cross multiply
    343,167.39x = 514,026.93 × 275,332.16
  4. Step 4: Simplify right side
    343,167.39x = 141,528,147,424.71
  5. Step 5: Solve for x
    x = 141,528,147,424.71/343,167.39
  6. Step 6: Final answer
    x = 412,417.24

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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.