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Finding the Fourth Proportional to 416,101.26, 574,223.88 and 225,118.74

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Solution

The fourth proportional to 416,101.26, 574,223.88 and 225,118.74 is: 310,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,101.26 : 574,223.88 = 225,118.74 : x
  2. Step 2: Convert to fraction form
    416,101.26/574,223.88 = 225,118.74/x
  3. Step 3: Cross multiply
    416,101.26x = 574,223.88 × 225,118.74
  4. Step 4: Simplify right side
    416,101.26x = 129,268,556,343.51
  5. Step 5: Solve for x
    x = 129,268,556,343.51/416,101.26
  6. Step 6: Final answer
    x = 310,666.10

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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.