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Finding the Fourth Proportional to 564,751.82, 847,232.22 and 185,693.42

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Solution

The fourth proportional to 564,751.82, 847,232.22 and 185,693.42 is: 278,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,751.82 : 847,232.22 = 185,693.42 : x
  2. Step 2: Convert to fraction form
    564,751.82/847,232.22 = 185,693.42/x
  3. Step 3: Cross multiply
    564,751.82x = 847,232.22 × 185,693.42
  4. Step 4: Simplify right side
    564,751.82x = 157,325,448,465.99
  5. Step 5: Solve for x
    x = 157,325,448,465.99/564,751.82
  6. Step 6: Final answer
    x = 278,574.49

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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.