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Finding the Fourth Proportional to 416,544.38, 574,819.66 and 246,778.50

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Solution

The fourth proportional to 416,544.38, 574,819.66 and 246,778.50 is: 340,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,544.38 : 574,819.66 = 246,778.50 : x
  2. Step 2: Convert to fraction form
    416,544.38/574,819.66 = 246,778.50/x
  3. Step 3: Cross multiply
    416,544.38x = 574,819.66 × 246,778.50
  4. Step 4: Simplify right side
    416,544.38x = 141,853,133,465.31
  5. Step 5: Solve for x
    x = 141,853,133,465.31/416,544.38
  6. Step 6: Final answer
    x = 340,547.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.