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Finding the Fourth Proportional to 416,255.48, 574,430.54 and 225,268.60

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Solution

The fourth proportional to 416,255.48, 574,430.54 and 225,268.60 is: 310,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,255.48 : 574,430.54 = 225,268.60 : x
  2. Step 2: Convert to fraction form
    416,255.48/574,430.54 = 225,268.60/x
  3. Step 3: Cross multiply
    416,255.48x = 574,430.54 × 225,268.60
  4. Step 4: Simplify right side
    416,255.48x = 129,401,163,543.04
  5. Step 5: Solve for x
    x = 129,401,163,543.04/416,255.48
  6. Step 6: Final answer
    x = 310,869.57

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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.