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Finding the Fourth Proportional to 418,602.06, 628,297.65 and 152,619.66

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Solution

The fourth proportional to 418,602.06, 628,297.65 and 152,619.66 is: 229,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,602.06 : 628,297.65 = 152,619.66 : x
  2. Step 2: Convert to fraction form
    418,602.06/628,297.65 = 152,619.66/x
  3. Step 3: Cross multiply
    418,602.06x = 628,297.65 × 152,619.66
  4. Step 4: Simplify right side
    418,602.06x = 95,890,573,721.80
  5. Step 5: Solve for x
    x = 95,890,573,721.80/418,602.06
  6. Step 6: Final answer
    x = 229,073.34

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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.