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Finding the Fourth Proportional to 464,852.14, 697,186.39 and 127,805.87

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Solution

The fourth proportional to 464,852.14, 697,186.39 and 127,805.87 is: 191,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,852.14 : 697,186.39 = 127,805.87 : x
  2. Step 2: Convert to fraction form
    464,852.14/697,186.39 = 127,805.87/x
  3. Step 3: Cross multiply
    464,852.14x = 697,186.39 × 127,805.87
  4. Step 4: Simplify right side
    464,852.14x = 89,104,513,126.11
  5. Step 5: Solve for x
    x = 89,104,513,126.11/464,852.14
  6. Step 6: Final answer
    x = 191,683.56

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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.