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Finding the Fourth Proportional to 406,696.98, 610,142.10 and 140,459.70

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Solution

The fourth proportional to 406,696.98, 610,142.10 and 140,459.70 is: 210,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,696.98 : 610,142.10 = 140,459.70 : x
  2. Step 2: Convert to fraction form
    406,696.98/610,142.10 = 140,459.70/x
  3. Step 3: Cross multiply
    406,696.98x = 610,142.10 × 140,459.70
  4. Step 4: Simplify right side
    406,696.98x = 85,700,376,323.37
  5. Step 5: Solve for x
    x = 85,700,376,323.37/406,696.98
  6. Step 6: Final answer
    x = 210,722.92

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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.