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Finding the Fourth Proportional to 270,940.20, 406,799.10 and 152,842.20

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Solution

The fourth proportional to 270,940.20, 406,799.10 and 152,842.20 is: 229,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,940.20 : 406,799.10 = 152,842.20 : x
  2. Step 2: Convert to fraction form
    270,940.20/406,799.10 = 152,842.20/x
  3. Step 3: Cross multiply
    270,940.20x = 406,799.10 × 152,842.20
  4. Step 4: Simplify right side
    270,940.20x = 62,176,069,402.02
  5. Step 5: Solve for x
    x = 62,176,069,402.02/270,940.20
  6. Step 6: Final answer
    x = 229,482.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.