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Finding the Fourth Proportional to 407,340.54, 610,931.70 and 204,882.66

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Solution

The fourth proportional to 407,340.54, 610,931.70 and 204,882.66 is: 307,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,340.54 : 610,931.70 = 204,882.66 : x
  2. Step 2: Convert to fraction form
    407,340.54/610,931.70 = 204,882.66/x
  3. Step 3: Cross multiply
    407,340.54x = 610,931.70 × 204,882.66
  4. Step 4: Simplify right side
    407,340.54x = 125,169,311,774.32
  5. Step 5: Solve for x
    x = 125,169,311,774.32/407,340.54
  6. Step 6: Final answer
    x = 307,284.20

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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.