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Finding the Fourth Proportional to 335,094.80, 502,642.20 and 319,542.80

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Solution

The fourth proportional to 335,094.80, 502,642.20 and 319,542.80 is: 479,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,094.80 : 502,642.20 = 319,542.80 : x
  2. Step 2: Convert to fraction form
    335,094.80/502,642.20 = 319,542.80/x
  3. Step 3: Cross multiply
    335,094.80x = 502,642.20 × 319,542.80
  4. Step 4: Simplify right side
    335,094.80x = 160,615,695,986.16
  5. Step 5: Solve for x
    x = 160,615,695,986.16/335,094.80
  6. Step 6: Final answer
    x = 479,314.20

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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.