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Finding the Fourth Proportional to 409,417.35, 614,126.01 and 159,924.39

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Solution

The fourth proportional to 409,417.35, 614,126.01 and 159,924.39 is: 239,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,417.35 : 614,126.01 = 159,924.39 : x
  2. Step 2: Convert to fraction form
    409,417.35/614,126.01 = 159,924.39/x
  3. Step 3: Cross multiply
    409,417.35x = 614,126.01 × 159,924.39
  4. Step 4: Simplify right side
    409,417.35x = 98,213,727,532.38
  5. Step 5: Solve for x
    x = 98,213,727,532.38/409,417.35
  6. Step 6: Final answer
    x = 239,886.58

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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.