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Finding the Fourth Proportional to 464,699.50, 696,993.89 and 127,774.40

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Solution

The fourth proportional to 464,699.50, 696,993.89 and 127,774.40 is: 191,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,699.50 : 696,993.89 = 127,774.40 : x
  2. Step 2: Convert to fraction form
    464,699.50/696,993.89 = 127,774.40/x
  3. Step 3: Cross multiply
    464,699.50x = 696,993.89 × 127,774.40
  4. Step 4: Simplify right side
    464,699.50x = 89,057,971,974.57
  5. Step 5: Solve for x
    x = 89,057,971,974.57/464,699.50
  6. Step 6: Final answer
    x = 191,646.37

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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.