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Finding the Fourth Proportional to 406,003.68, 560,280.78 and 224,715.96

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Solution

The fourth proportional to 406,003.68, 560,280.78 and 224,715.96 is: 310,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,003.68 : 560,280.78 = 224,715.96 : x
  2. Step 2: Convert to fraction form
    406,003.68/560,280.78 = 224,715.96/x
  3. Step 3: Cross multiply
    406,003.68x = 560,280.78 × 224,715.96
  4. Step 4: Simplify right side
    406,003.68x = 125,904,033,347.25
  5. Step 5: Solve for x
    x = 125,904,033,347.25/406,003.68
  6. Step 6: Final answer
    x = 310,105.65

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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.