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Finding the Fourth Proportional to 406,003, 560,285.24 and 224,727.42

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Solution

The fourth proportional to 406,003, 560,285.24 and 224,727.42 is: 310,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,003 : 560,285.24 = 224,727.42 : x
  2. Step 2: Convert to fraction form
    406,003/560,285.24 = 224,727.42/x
  3. Step 3: Cross multiply
    406,003x = 560,285.24 × 224,727.42
  4. Step 4: Simplify right side
    406,003x = 125,911,456,449.28
  5. Step 5: Solve for x
    x = 125,911,456,449.28/406,003
  6. Step 6: Final answer
    x = 310,124.45

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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.