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Finding the Fourth Proportional to 270,943.20, 406,803.60 and 152,845.20

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Solution

The fourth proportional to 270,943.20, 406,803.60 and 152,845.20 is: 229,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,943.20 : 406,803.60 = 152,845.20 : x
  2. Step 2: Convert to fraction form
    270,943.20/406,803.60 = 152,845.20/x
  3. Step 3: Cross multiply
    270,943.20x = 406,803.60 × 152,845.20
  4. Step 4: Simplify right side
    270,943.20x = 62,177,977,602.72
  5. Step 5: Solve for x
    x = 62,177,977,602.72/270,943.20
  6. Step 6: Final answer
    x = 229,487.13

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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.