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Finding the Fourth Proportional to 407,115.69, 610,677.48 and 154,328.25

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Solution

The fourth proportional to 407,115.69, 610,677.48 and 154,328.25 is: 231,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115.69 : 610,677.48 = 154,328.25 : x
  2. Step 2: Convert to fraction form
    407,115.69/610,677.48 = 154,328.25/x
  3. Step 3: Cross multiply
    407,115.69x = 610,677.48 × 154,328.25
  4. Step 4: Simplify right side
    407,115.69x = 94,244,786,802.81
  5. Step 5: Solve for x
    x = 94,244,786,802.81/407,115.69
  6. Step 6: Final answer
    x = 231,493.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.