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Finding the Fourth Proportional to 406,950.70, 610,426.05 and 207,885.10

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Solution

The fourth proportional to 406,950.70, 610,426.05 and 207,885.10 is: 311,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,950.70 : 610,426.05 = 207,885.10 : x
  2. Step 2: Convert to fraction form
    406,950.70/610,426.05 = 207,885.10/x
  3. Step 3: Cross multiply
    406,950.70x = 610,426.05 × 207,885.10
  4. Step 4: Simplify right side
    406,950.70x = 126,898,480,446.86
  5. Step 5: Solve for x
    x = 126,898,480,446.86/406,950.70
  6. Step 6: Final answer
    x = 311,827.65

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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.