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Finding the Fourth Proportional to 431,020.47, 645,860.14 and 164,635.59

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Solution

The fourth proportional to 431,020.47, 645,860.14 and 164,635.59 is: 246,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,020.47 : 645,860.14 = 164,635.59 : x
  2. Step 2: Convert to fraction form
    431,020.47/645,860.14 = 164,635.59/x
  3. Step 3: Cross multiply
    431,020.47x = 645,860.14 × 164,635.59
  4. Step 4: Simplify right side
    431,020.47x = 106,331,564,383.21
  5. Step 5: Solve for x
    x = 106,331,564,383.21/431,020.47
  6. Step 6: Final answer
    x = 246,697.25

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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.