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Finding the Fourth Proportional to 364,459.68, 546,712.56 and 154,069.92

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Solution

The fourth proportional to 364,459.68, 546,712.56 and 154,069.92 is: 231,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,459.68 : 546,712.56 = 154,069.92 : x
  2. Step 2: Convert to fraction form
    364,459.68/546,712.56 = 154,069.92/x
  3. Step 3: Cross multiply
    364,459.68x = 546,712.56 × 154,069.92
  4. Step 4: Simplify right side
    364,459.68x = 84,231,960,382.20
  5. Step 5: Solve for x
    x = 84,231,960,382.20/364,459.68
  6. Step 6: Final answer
    x = 231,114.62

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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.