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Finding the Fourth Proportional to 406,087.56, 560,394.18 and 224,795.70

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Solution

The fourth proportional to 406,087.56, 560,394.18 and 224,795.70 is: 310,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,087.56 : 560,394.18 = 224,795.70 : x
  2. Step 2: Convert to fraction form
    406,087.56/560,394.18 = 224,795.70/x
  3. Step 3: Cross multiply
    406,087.56x = 560,394.18 × 224,795.70
  4. Step 4: Simplify right side
    406,087.56x = 125,974,201,969.03
  5. Step 5: Solve for x
    x = 125,974,201,969.03/406,087.56
  6. Step 6: Final answer
    x = 310,214.38

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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.