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Finding the Fourth Proportional to 406,238.97, 560,602.88 and 224,947.01

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Solution

The fourth proportional to 406,238.97, 560,602.88 and 224,947.01 is: 310,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,238.97 : 560,602.88 = 224,947.01 : x
  2. Step 2: Convert to fraction form
    406,238.97/560,602.88 = 224,947.01/x
  3. Step 3: Cross multiply
    406,238.97x = 560,602.88 × 224,947.01
  4. Step 4: Simplify right side
    406,238.97x = 126,105,940,728.42
  5. Step 5: Solve for x
    x = 126,105,940,728.42/406,238.97
  6. Step 6: Final answer
    x = 310,423.05

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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.