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Finding the Fourth Proportional to 564,736.30, 847,209.39 and 185,678.26

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Solution

The fourth proportional to 564,736.30, 847,209.39 and 185,678.26 is: 278,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,736.30 : 847,209.39 = 185,678.26 : x
  2. Step 2: Convert to fraction form
    564,736.30/847,209.39 = 185,678.26/x
  3. Step 3: Cross multiply
    564,736.30x = 847,209.39 × 185,678.26
  4. Step 4: Simplify right side
    564,736.30x = 157,308,365,390.86
  5. Step 5: Solve for x
    x = 157,308,365,390.86/564,736.30
  6. Step 6: Final answer
    x = 278,551.89

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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.