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Finding the Fourth Proportional to 431,565.58, 595,630.67 and 259,657.30

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Solution

The fourth proportional to 431,565.58, 595,630.67 and 259,657.30 is: 358,369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,565.58 : 595,630.67 = 259,657.30 : x
  2. Step 2: Convert to fraction form
    431,565.58/595,630.67 = 259,657.30/x
  3. Step 3: Cross multiply
    431,565.58x = 595,630.67 × 259,657.30
  4. Step 4: Simplify right side
    431,565.58x = 154,659,851,569.39
  5. Step 5: Solve for x
    x = 154,659,851,569.39/431,565.58
  6. Step 6: Final answer
    x = 358,369.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.