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Finding the Fourth Proportional to 308,561.40, 462,842.10 and 151,097.40

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Solution

The fourth proportional to 308,561.40, 462,842.10 and 151,097.40 is: 226,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,561.40 : 462,842.10 = 151,097.40 : x
  2. Step 2: Convert to fraction form
    308,561.40/462,842.10 = 151,097.40/x
  3. Step 3: Cross multiply
    308,561.40x = 462,842.10 × 151,097.40
  4. Step 4: Simplify right side
    308,561.40x = 69,934,237,920.54
  5. Step 5: Solve for x
    x = 69,934,237,920.54/308,561.40
  6. Step 6: Final answer
    x = 226,646.10

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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.