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Finding the Fourth Proportional to 561,148.26, 842,247.28 and 277,159.50

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Solution

The fourth proportional to 561,148.26, 842,247.28 and 277,159.50 is: 415,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,148.26 : 842,247.28 = 277,159.50 : x
  2. Step 2: Convert to fraction form
    561,148.26/842,247.28 = 277,159.50/x
  3. Step 3: Cross multiply
    561,148.26x = 842,247.28 × 277,159.50
  4. Step 4: Simplify right side
    561,148.26x = 233,436,835,001.16
  5. Step 5: Solve for x
    x = 233,436,835,001.16/561,148.26
  6. Step 6: Final answer
    x = 415,998.50

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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.