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Finding the Fourth Proportional to 564,707.85, 847,160.48 and 185,523.36

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Solution

The fourth proportional to 564,707.85, 847,160.48 and 185,523.36 is: 278,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,707.85 : 847,160.48 = 185,523.36 : x
  2. Step 2: Convert to fraction form
    564,707.85/847,160.48 = 185,523.36/x
  3. Step 3: Cross multiply
    564,707.85x = 847,160.48 × 185,523.36
  4. Step 4: Simplify right side
    564,707.85x = 157,168,058,708.81
  5. Step 5: Solve for x
    x = 157,168,058,708.81/564,707.85
  6. Step 6: Final answer
    x = 278,317.47

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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.