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Finding the Fourth Proportional to 390,135.75, 538,387.34 and 211,287.75

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Solution

The fourth proportional to 390,135.75, 538,387.34 and 211,287.75 is: 291,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,135.75 : 538,387.34 = 211,287.75 : x
  2. Step 2: Convert to fraction form
    390,135.75/538,387.34 = 211,287.75/x
  3. Step 3: Cross multiply
    390,135.75x = 538,387.34 × 211,287.75
  4. Step 4: Simplify right side
    390,135.75x = 113,754,648,640.65
  5. Step 5: Solve for x
    x = 113,754,648,640.65/390,135.75
  6. Step 6: Final answer
    x = 291,577.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.