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Finding the Fourth Proportional to 431,390.75, 595,314.39 and 235,152.93

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Solution

The fourth proportional to 431,390.75, 595,314.39 and 235,152.93 is: 324,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,390.75 : 595,314.39 = 235,152.93 : x
  2. Step 2: Convert to fraction form
    431,390.75/595,314.39 = 235,152.93/x
  3. Step 3: Cross multiply
    431,390.75x = 595,314.39 × 235,152.93
  4. Step 4: Simplify right side
    431,390.75x = 139,989,919,965.41
  5. Step 5: Solve for x
    x = 139,989,919,965.41/431,390.75
  6. Step 6: Final answer
    x = 324,508.40

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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.