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Finding the Fourth Proportional to 406,847.54, 610,187.81 and 154,041.02

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Solution

The fourth proportional to 406,847.54, 610,187.81 and 154,041.02 is: 231,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,847.54 : 610,187.81 = 154,041.02 : x
  2. Step 2: Convert to fraction form
    406,847.54/610,187.81 = 154,041.02/x
  3. Step 3: Cross multiply
    406,847.54x = 610,187.81 × 154,041.02
  4. Step 4: Simplify right side
    406,847.54x = 93,993,952,643.97
  5. Step 5: Solve for x
    x = 93,993,952,643.97/406,847.54
  6. Step 6: Final answer
    x = 231,029.92

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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.