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Finding the Fourth Proportional to 406,023.71, 560,295.08 and 224,724.82

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Solution

The fourth proportional to 406,023.71, 560,295.08 and 224,724.82 is: 310,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,023.71 : 560,295.08 = 224,724.82 : x
  2. Step 2: Convert to fraction form
    406,023.71/560,295.08 = 224,724.82/x
  3. Step 3: Cross multiply
    406,023.71x = 560,295.08 × 224,724.82
  4. Step 4: Simplify right side
    406,023.71x = 125,912,210,999.89
  5. Step 5: Solve for x
    x = 125,912,210,999.89/406,023.71
  6. Step 6: Final answer
    x = 310,110.49

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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.