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Finding the Fourth Proportional to 270,948.80, 406,423.20 and 265,764.80

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Solution

The fourth proportional to 270,948.80, 406,423.20 and 265,764.80 is: 398,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,948.80 : 406,423.20 = 265,764.80 : x
  2. Step 2: Convert to fraction form
    270,948.80/406,423.20 = 265,764.80/x
  3. Step 3: Cross multiply
    270,948.80x = 406,423.20 × 265,764.80
  4. Step 4: Simplify right side
    270,948.80x = 108,012,980,463.36
  5. Step 5: Solve for x
    x = 108,012,980,463.36/270,948.80
  6. Step 6: Final answer
    x = 398,647.20

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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.