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Finding the Fourth Proportional to 416,310, 574,506.72 and 225,323.34

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Solution

The fourth proportional to 416,310, 574,506.72 and 225,323.34 is: 310,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,310 : 574,506.72 = 225,323.34 : x
  2. Step 2: Convert to fraction form
    416,310/574,506.72 = 225,323.34/x
  3. Step 3: Cross multiply
    416,310x = 574,506.72 × 225,323.34
  4. Step 4: Simplify right side
    416,310x = 129,449,773,002.85
  5. Step 5: Solve for x
    x = 129,449,773,002.85/416,310
  6. Step 6: Final answer
    x = 310,945.62

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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.