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Finding the Fourth Proportional to 477,178.74, 715,714.02 and 122,195.34

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Solution

The fourth proportional to 477,178.74, 715,714.02 and 122,195.34 is: 183,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,178.74 : 715,714.02 = 122,195.34 : x
  2. Step 2: Convert to fraction form
    477,178.74/715,714.02 = 122,195.34/x
  3. Step 3: Cross multiply
    477,178.74x = 715,714.02 × 122,195.34
  4. Step 4: Simplify right side
    477,178.74x = 87,456,918,016.67
  5. Step 5: Solve for x
    x = 87,456,918,016.67/477,178.74
  6. Step 6: Final answer
    x = 183,279.16

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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.