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Finding the Fourth Proportional to 407,674.59, 562,605.40 and 226,389.60

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Solution

The fourth proportional to 407,674.59, 562,605.40 and 226,389.60 is: 312,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,674.59 : 562,605.40 = 226,389.60 : x
  2. Step 2: Convert to fraction form
    407,674.59/562,605.40 = 226,389.60/x
  3. Step 3: Cross multiply
    407,674.59x = 562,605.40 × 226,389.60
  4. Step 4: Simplify right side
    407,674.59x = 127,368,010,473.39
  5. Step 5: Solve for x
    x = 127,368,010,473.39/407,674.59
  6. Step 6: Final answer
    x = 312,425.68

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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.