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Finding the Fourth Proportional to 417,351.32, 626,015.82 and 117,852.56

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Solution

The fourth proportional to 417,351.32, 626,015.82 and 117,852.56 is: 176,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,351.32 : 626,015.82 = 117,852.56 : x
  2. Step 2: Convert to fraction form
    417,351.32/626,015.82 = 117,852.56/x
  3. Step 3: Cross multiply
    417,351.32x = 626,015.82 × 117,852.56
  4. Step 4: Simplify right side
    417,351.32x = 73,777,566,987.50
  5. Step 5: Solve for x
    x = 73,777,566,987.50/417,351.32
  6. Step 6: Final answer
    x = 176,775.69

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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.