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Finding the Fourth Proportional to 314,092.60, 433,453.54 and 170,853.80

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Solution

The fourth proportional to 314,092.60, 433,453.54 and 170,853.80 is: 235,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,092.60 : 433,453.54 = 170,853.80 : x
  2. Step 2: Convert to fraction form
    314,092.60/433,453.54 = 170,853.80/x
  3. Step 3: Cross multiply
    314,092.60x = 433,453.54 × 170,853.80
  4. Step 4: Simplify right side
    314,092.60x = 74,057,184,432.45
  5. Step 5: Solve for x
    x = 74,057,184,432.45/314,092.60
  6. Step 6: Final answer
    x = 235,781.37

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1.5x scale

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.