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Finding the Fourth Proportional to 406,953.70, 610,420.95 and 111,465.70

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Solution

The fourth proportional to 406,953.70, 610,420.95 and 111,465.70 is: 167,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,953.70 : 610,420.95 = 111,465.70 : x
  2. Step 2: Convert to fraction form
    406,953.70/610,420.95 = 111,465.70/x
  3. Step 3: Cross multiply
    406,953.70x = 610,420.95 × 111,465.70
  4. Step 4: Simplify right side
    406,953.70x = 68,040,998,486.42
  5. Step 5: Solve for x
    x = 68,040,998,486.42/406,953.70
  6. Step 6: Final answer
    x = 167,195.92

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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.