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Finding the Fourth Proportional to 416,368.50, 574,588.80 and 225,383.46

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Solution

The fourth proportional to 416,368.50, 574,588.80 and 225,383.46 is: 311,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,368.50 : 574,588.80 = 225,383.46 : x
  2. Step 2: Convert to fraction form
    416,368.50/574,588.80 = 225,383.46/x
  3. Step 3: Cross multiply
    416,368.50x = 574,588.80 × 225,383.46
  4. Step 4: Simplify right side
    416,368.50x = 129,502,811,821.25
  5. Step 5: Solve for x
    x = 129,502,811,821.25/416,368.50
  6. Step 6: Final answer
    x = 311,029.32

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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.