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Finding the Fourth Proportional to 316,182.47, 436,474.14 and 201,614.68

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Solution

The fourth proportional to 316,182.47, 436,474.14 and 201,614.68 is: 278,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,182.47 : 436,474.14 = 201,614.68 : x
  2. Step 2: Convert to fraction form
    316,182.47/436,474.14 = 201,614.68/x
  3. Step 3: Cross multiply
    316,182.47x = 436,474.14 × 201,614.68
  4. Step 4: Simplify right side
    316,182.47x = 87,999,594,064.38
  5. Step 5: Solve for x
    x = 87,999,594,064.38/316,182.47
  6. Step 6: Final answer
    x = 278,319.02

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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.