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Finding the Fourth Proportional to 406,230.48, 560,582.64 and 224,928

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Solution

The fourth proportional to 406,230.48, 560,582.64 and 224,928 is: 310,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,230.48 : 560,582.64 = 224,928 : x
  2. Step 2: Convert to fraction form
    406,230.48/560,582.64 = 224,928/x
  3. Step 3: Cross multiply
    406,230.48x = 560,582.64 × 224,928
  4. Step 4: Simplify right side
    406,230.48x = 126,090,732,049.92
  5. Step 5: Solve for x
    x = 126,090,732,049.92/406,230.48
  6. Step 6: Final answer
    x = 310,392.10

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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.