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Finding the Fourth Proportional to 463,958.69, 695,938.41 and 127,002.14

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Solution

The fourth proportional to 463,958.69, 695,938.41 and 127,002.14 is: 190,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,958.69 : 695,938.41 = 127,002.14 : x
  2. Step 2: Convert to fraction form
    463,958.69/695,938.41 = 127,002.14/x
  3. Step 3: Cross multiply
    463,958.69x = 695,938.41 × 127,002.14
  4. Step 4: Simplify right side
    463,958.69x = 88,385,663,898.51
  5. Step 5: Solve for x
    x = 88,385,663,898.51/463,958.69
  6. Step 6: Final answer
    x = 190,503.31

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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.