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Finding the Fourth Proportional to 564,671.90, 846,828.02 and 185,504.64

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Solution

The fourth proportional to 564,671.90, 846,828.02 and 185,504.64 is: 278,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,671.90 : 846,828.02 = 185,504.64 : x
  2. Step 2: Convert to fraction form
    564,671.90/846,828.02 = 185,504.64/x
  3. Step 3: Cross multiply
    564,671.90x = 846,828.02 × 185,504.64
  4. Step 4: Simplify right side
    564,671.90x = 157,090,526,992.01
  5. Step 5: Solve for x
    x = 157,090,526,992.01/564,671.90
  6. Step 6: Final answer
    x = 278,197.88

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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.