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Finding the Fourth Proportional to 406,994.64, 610,408.84 and 154,187.98

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Solution

The fourth proportional to 406,994.64, 610,408.84 and 154,187.98 is: 231,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,994.64 : 610,408.84 = 154,187.98 : x
  2. Step 2: Convert to fraction form
    406,994.64/610,408.84 = 154,187.98/x
  3. Step 3: Cross multiply
    406,994.64x = 610,408.84 × 154,187.98
  4. Step 4: Simplify right side
    406,994.64x = 94,117,706,013.74
  5. Step 5: Solve for x
    x = 94,117,706,013.74/406,994.64
  6. Step 6: Final answer
    x = 231,250.48

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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.