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Finding the Fourth Proportional to 406,019.93, 560,293.21 and 224,732.21

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Solution

The fourth proportional to 406,019.93, 560,293.21 and 224,732.21 is: 310,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,019.93 : 560,293.21 = 224,732.21 : x
  2. Step 2: Convert to fraction form
    406,019.93/560,293.21 = 224,732.21/x
  3. Step 3: Cross multiply
    406,019.93x = 560,293.21 × 224,732.21
  4. Step 4: Simplify right side
    406,019.93x = 125,915,931,331.29
  5. Step 5: Solve for x
    x = 125,915,931,331.29/406,019.93
  6. Step 6: Final answer
    x = 310,122.54

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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.