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Finding the Fourth Proportional to 431,389.80, 646,931.10 and 194,845.80

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Solution

The fourth proportional to 431,389.80, 646,931.10 and 194,845.80 is: 292,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,389.80 : 646,931.10 = 194,845.80 : x
  2. Step 2: Convert to fraction form
    431,389.80/646,931.10 = 194,845.80/x
  3. Step 3: Cross multiply
    431,389.80x = 646,931.10 × 194,845.80
  4. Step 4: Simplify right side
    431,389.80x = 126,051,807,724.38
  5. Step 5: Solve for x
    x = 126,051,807,724.38/431,389.80
  6. Step 6: Final answer
    x = 292,199.32

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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.