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Finding the Fourth Proportional to 406,395.51, 560,819.88 and 225,106.85

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Solution

The fourth proportional to 406,395.51, 560,819.88 and 225,106.85 is: 310,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,395.51 : 560,819.88 = 225,106.85 : x
  2. Step 2: Convert to fraction form
    406,395.51/560,819.88 = 225,106.85/x
  3. Step 3: Cross multiply
    406,395.51x = 560,819.88 × 225,106.85
  4. Step 4: Simplify right side
    406,395.51x = 126,244,393,800.08
  5. Step 5: Solve for x
    x = 126,244,393,800.08/406,395.51
  6. Step 6: Final answer
    x = 310,644.16

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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.