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Finding the Fourth Proportional to 406,552.14, 561,041.40 and 225,275.80

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Solution

The fourth proportional to 406,552.14, 561,041.40 and 225,275.80 is: 310,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,552.14 : 561,041.40 = 225,275.80 : x
  2. Step 2: Convert to fraction form
    406,552.14/561,041.40 = 225,275.80/x
  3. Step 3: Cross multiply
    406,552.14x = 561,041.40 × 225,275.80
  4. Step 4: Simplify right side
    406,552.14x = 126,389,050,218.12
  5. Step 5: Solve for x
    x = 126,389,050,218.12/406,552.14
  6. Step 6: Final answer
    x = 310,880.30

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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.