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Finding the Fourth Proportional to 431,152.80, 646,729.20 and 427,005.60

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Solution

The fourth proportional to 431,152.80, 646,729.20 and 427,005.60 is: 640,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,152.80 : 646,729.20 = 427,005.60 : x
  2. Step 2: Convert to fraction form
    431,152.80/646,729.20 = 427,005.60/x
  3. Step 3: Cross multiply
    431,152.80x = 646,729.20 × 427,005.60
  4. Step 4: Simplify right side
    431,152.80x = 276,156,990,083.52
  5. Step 5: Solve for x
    x = 276,156,990,083.52/431,152.80
  6. Step 6: Final answer
    x = 640,508.40

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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.