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Finding the Fourth Proportional to 431,022.22, 645,862.76 and 164,637.34

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Solution

The fourth proportional to 431,022.22, 645,862.76 and 164,637.34 is: 246,699.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,022.22 : 645,862.76 = 164,637.34 : x
  2. Step 2: Convert to fraction form
    431,022.22/645,862.76 = 164,637.34/x
  3. Step 3: Cross multiply
    431,022.22x = 645,862.76 × 164,637.34
  4. Step 4: Simplify right side
    431,022.22x = 106,333,126,811.46
  5. Step 5: Solve for x
    x = 106,333,126,811.46/431,022.22
  6. Step 6: Final answer
    x = 246,699.87

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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.