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Finding the Fourth Proportional to 406,518, 560,994.84 and 227,670

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Solution

The fourth proportional to 406,518, 560,994.84 and 227,670 is: 314,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,518 : 560,994.84 = 227,670 : x
  2. Step 2: Convert to fraction form
    406,518/560,994.84 = 227,670/x
  3. Step 3: Cross multiply
    406,518x = 560,994.84 × 227,670
  4. Step 4: Simplify right side
    406,518x = 127,721,695,222.80
  5. Step 5: Solve for x
    x = 127,721,695,222.80/406,518
  6. Step 6: Final answer
    x = 314,184.60

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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.