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Finding the Fourth Proportional to 413,769.63, 620,637.59 and 143,959.55

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Solution

The fourth proportional to 413,769.63, 620,637.59 and 143,959.55 is: 215,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,769.63 : 620,637.59 = 143,959.55 : x
  2. Step 2: Convert to fraction form
    413,769.63/620,637.59 = 143,959.55/x
  3. Step 3: Cross multiply
    413,769.63x = 620,637.59 × 143,959.55
  4. Step 4: Simplify right side
    413,769.63x = 89,346,705,426.20
  5. Step 5: Solve for x
    x = 89,346,705,426.20/413,769.63
  6. Step 6: Final answer
    x = 215,933.45

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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.