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Finding the Fourth Proportional to 406,090.65, 560,409.53 and 224,805.61

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Solution

The fourth proportional to 406,090.65, 560,409.53 and 224,805.61 is: 310,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,090.65 : 560,409.53 = 224,805.61 : x
  2. Step 2: Convert to fraction form
    406,090.65/560,409.53 = 224,805.61/x
  3. Step 3: Cross multiply
    406,090.65x = 560,409.53 × 224,805.61
  4. Step 4: Simplify right side
    406,090.65x = 125,983,207,084.48
  5. Step 5: Solve for x
    x = 125,983,207,084.48/406,090.65
  6. Step 6: Final answer
    x = 310,234.20

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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.