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Finding the Fourth Proportional to 507,667.56, 761,304.51 and 270,881.08

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Solution

The fourth proportional to 507,667.56, 761,304.51 and 270,881.08 is: 406,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,667.56 : 761,304.51 = 270,881.08 : x
  2. Step 2: Convert to fraction form
    507,667.56/761,304.51 = 270,881.08/x
  3. Step 3: Cross multiply
    507,667.56x = 761,304.51 × 270,881.08
  4. Step 4: Simplify right side
    507,667.56x = 206,222,987,877.67
  5. Step 5: Solve for x
    x = 206,222,987,877.67/507,667.56
  6. Step 6: Final answer
    x = 406,216.60

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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.