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Finding the Fourth Proportional to 406,995.15, 610,409.58 and 154,188.48

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Solution

The fourth proportional to 406,995.15, 610,409.58 and 154,188.48 is: 231,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,995.15 : 610,409.58 = 154,188.48 : x
  2. Step 2: Convert to fraction form
    406,995.15/610,409.58 = 154,188.48/x
  3. Step 3: Cross multiply
    406,995.15x = 610,409.58 × 154,188.48
  4. Step 4: Simplify right side
    406,995.15x = 94,118,125,317.64
  5. Step 5: Solve for x
    x = 94,118,125,317.64/406,995.15
  6. Step 6: Final answer
    x = 231,251.22

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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.