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Finding the Fourth Proportional to 431,094.80, 646,642.20 and 263,133.20

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Solution

The fourth proportional to 431,094.80, 646,642.20 and 263,133.20 is: 394,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,094.80 : 646,642.20 = 263,133.20 : x
  2. Step 2: Convert to fraction form
    431,094.80/646,642.20 = 263,133.20/x
  3. Step 3: Cross multiply
    431,094.80x = 646,642.20 × 263,133.20
  4. Step 4: Simplify right side
    431,094.80x = 170,153,031,341.04
  5. Step 5: Solve for x
    x = 170,153,031,341.04/431,094.80
  6. Step 6: Final answer
    x = 394,699.80

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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.