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Finding the Fourth Proportional to 508,587.48, 762,948.18 and 188,695.80

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Solution

The fourth proportional to 508,587.48, 762,948.18 and 188,695.80 is: 283,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,587.48 : 762,948.18 = 188,695.80 : x
  2. Step 2: Convert to fraction form
    508,587.48/762,948.18 = 188,695.80/x
  3. Step 3: Cross multiply
    508,587.48x = 762,948.18 × 188,695.80
  4. Step 4: Simplify right side
    508,587.48x = 143,965,117,183.64
  5. Step 5: Solve for x
    x = 143,965,117,183.64/508,587.48
  6. Step 6: Final answer
    x = 283,068.54

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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.