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Finding the Fourth Proportional to 467,873.14, 645,665.21 and 253,013.19

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Solution

The fourth proportional to 467,873.14, 645,665.21 and 253,013.19 is: 349,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,873.14 : 645,665.21 = 253,013.19 : x
  2. Step 2: Convert to fraction form
    467,873.14/645,665.21 = 253,013.19/x
  3. Step 3: Cross multiply
    467,873.14x = 645,665.21 × 253,013.19
  4. Step 4: Simplify right side
    467,873.14x = 163,361,814,454.12
  5. Step 5: Solve for x
    x = 163,361,814,454.12/467,873.14
  6. Step 6: Final answer
    x = 349,158.35

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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.