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Finding the Fourth Proportional to 349,042.35, 523,079.12 and 159,038.37

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Solution

The fourth proportional to 349,042.35, 523,079.12 and 159,038.37 is: 238,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,042.35 : 523,079.12 = 159,038.37 : x
  2. Step 2: Convert to fraction form
    349,042.35/523,079.12 = 159,038.37/x
  3. Step 3: Cross multiply
    349,042.35x = 523,079.12 × 159,038.37
  4. Step 4: Simplify right side
    349,042.35x = 83,189,649,318.14
  5. Step 5: Solve for x
    x = 83,189,649,318.14/349,042.35
  6. Step 6: Final answer
    x = 238,336.84

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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.