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Finding the Fourth Proportional to 431,188.02, 646,876.68 and 127,558.40

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Solution

The fourth proportional to 431,188.02, 646,876.68 and 127,558.40 is: 191,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,188.02 : 646,876.68 = 127,558.40 : x
  2. Step 2: Convert to fraction form
    431,188.02/646,876.68 = 127,558.40/x
  3. Step 3: Cross multiply
    431,188.02x = 646,876.68 × 127,558.40
  4. Step 4: Simplify right side
    431,188.02x = 82,514,554,298.11
  5. Step 5: Solve for x
    x = 82,514,554,298.11/431,188.02
  6. Step 6: Final answer
    x = 191,365.60

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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.