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Finding the Fourth Proportional to 406,092.05, 560,411.46 and 224,807

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Solution

The fourth proportional to 406,092.05, 560,411.46 and 224,807 is: 310,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,092.05 : 560,411.46 = 224,807 : x
  2. Step 2: Convert to fraction form
    406,092.05/560,411.46 = 224,807/x
  3. Step 3: Cross multiply
    406,092.05x = 560,411.46 × 224,807
  4. Step 4: Simplify right side
    406,092.05x = 125,984,417,964.19
  5. Step 5: Solve for x
    x = 125,984,417,964.19/406,092.05
  6. Step 6: Final answer
    x = 310,236.11

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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.