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Finding the Fourth Proportional to 485,690.70, 728,536.05 and 406,958.70

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Solution

The fourth proportional to 485,690.70, 728,536.05 and 406,958.70 is: 610,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,690.70 : 728,536.05 = 406,958.70 : x
  2. Step 2: Convert to fraction form
    485,690.70/728,536.05 = 406,958.70/x
  3. Step 3: Cross multiply
    485,690.70x = 728,536.05 × 406,958.70
  4. Step 4: Simplify right side
    485,690.70x = 296,484,083,811.14
  5. Step 5: Solve for x
    x = 296,484,083,811.14/485,690.70
  6. Step 6: Final answer
    x = 610,438.05

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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.