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Finding the Fourth Proportional to 410,251.13, 565,363.42 and 295,327.01

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Solution

The fourth proportional to 410,251.13, 565,363.42 and 295,327.01 is: 406,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,251.13 : 565,363.42 = 295,327.01 : x
  2. Step 2: Convert to fraction form
    410,251.13/565,363.42 = 295,327.01/x
  3. Step 3: Cross multiply
    410,251.13x = 565,363.42 × 295,327.01
  4. Step 4: Simplify right side
    410,251.13x = 166,967,089,897.67
  5. Step 5: Solve for x
    x = 166,967,089,897.67/410,251.13
  6. Step 6: Final answer
    x = 406,987.52

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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.