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Finding the Fourth Proportional to 343,171.86, 514,582.26 and 143,437.74

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Solution

The fourth proportional to 343,171.86, 514,582.26 and 143,437.74 is: 215,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,171.86 : 514,582.26 = 143,437.74 : x
  2. Step 2: Convert to fraction form
    343,171.86/514,582.26 = 143,437.74/x
  3. Step 3: Cross multiply
    343,171.86x = 514,582.26 × 143,437.74
  4. Step 4: Simplify right side
    343,171.86x = 73,810,516,418.49
  5. Step 5: Solve for x
    x = 73,810,516,418.49/343,171.86
  6. Step 6: Final answer
    x = 215,083.24

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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.