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Finding the Fourth Proportional to 610,994.16, 916,536.20 and 161,711.98

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Solution

The fourth proportional to 610,994.16, 916,536.20 and 161,711.98 is: 242,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,994.16 : 916,536.20 = 161,711.98 : x
  2. Step 2: Convert to fraction form
    610,994.16/916,536.20 = 161,711.98/x
  3. Step 3: Cross multiply
    610,994.16x = 916,536.20 × 161,711.98
  4. Step 4: Simplify right side
    610,994.16x = 148,214,883,643.68
  5. Step 5: Solve for x
    x = 148,214,883,643.68/610,994.16
  6. Step 6: Final answer
    x = 242,579.87

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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.