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Finding the Fourth Proportional to 416,164.48, 574,302.90 and 225,173.68

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Solution

The fourth proportional to 416,164.48, 574,302.90 and 225,173.68 is: 310,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,164.48 : 574,302.90 = 225,173.68 : x
  2. Step 2: Convert to fraction form
    416,164.48/574,302.90 = 225,173.68/x
  3. Step 3: Cross multiply
    416,164.48x = 574,302.90 × 225,173.68
  4. Step 4: Simplify right side
    416,164.48x = 129,317,897,427.67
  5. Step 5: Solve for x
    x = 129,317,897,427.67/416,164.48
  6. Step 6: Final answer
    x = 310,737.47

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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.