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Finding the Fourth Proportional to 343,259.20, 514,111.20 and 203,291.20

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Solution

The fourth proportional to 343,259.20, 514,111.20 and 203,291.20 is: 304,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,259.20 : 514,111.20 = 203,291.20 : x
  2. Step 2: Convert to fraction form
    343,259.20/514,111.20 = 203,291.20/x
  3. Step 3: Cross multiply
    343,259.20x = 514,111.20 × 203,291.20
  4. Step 4: Simplify right side
    343,259.20x = 104,514,282,781.44
  5. Step 5: Solve for x
    x = 104,514,282,781.44/343,259.20
  6. Step 6: Final answer
    x = 304,476.28

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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.