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Finding the Fourth Proportional to 564,654.06, 846,801.43 and 185,486.81

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Solution

The fourth proportional to 564,654.06, 846,801.43 and 185,486.81 is: 278,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,654.06 : 846,801.43 = 185,486.81 : x
  2. Step 2: Convert to fraction form
    564,654.06/846,801.43 = 185,486.81/x
  3. Step 3: Cross multiply
    564,654.06x = 846,801.43 × 185,486.81
  4. Step 4: Simplify right side
    564,654.06x = 157,070,491,256.41
  5. Step 5: Solve for x
    x = 157,070,491,256.41/564,654.06
  6. Step 6: Final answer
    x = 278,171.19

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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.