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Finding the Fourth Proportional to 398,031.78, 596,424.63 and 158,016.05

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Solution

The fourth proportional to 398,031.78, 596,424.63 and 158,016.05 is: 236,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,031.78 : 596,424.63 = 158,016.05 : x
  2. Step 2: Convert to fraction form
    398,031.78/596,424.63 = 158,016.05/x
  3. Step 3: Cross multiply
    398,031.78x = 596,424.63 × 158,016.05
  4. Step 4: Simplify right side
    398,031.78x = 94,244,662,077.62
  5. Step 5: Solve for x
    x = 94,244,662,077.62/398,031.78
  6. Step 6: Final answer
    x = 236,776.73

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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.