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Finding the Fourth Proportional to 418,074.80, 626,930.76 and 151,746.80

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Solution

The fourth proportional to 418,074.80, 626,930.76 and 151,746.80 is: 227,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,074.80 : 626,930.76 = 151,746.80 : x
  2. Step 2: Convert to fraction form
    418,074.80/626,930.76 = 151,746.80/x
  3. Step 3: Cross multiply
    418,074.80x = 626,930.76 × 151,746.80
  4. Step 4: Simplify right side
    418,074.80x = 95,134,736,651.57
  5. Step 5: Solve for x
    x = 95,134,736,651.57/418,074.80
  6. Step 6: Final answer
    x = 227,554.34

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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.