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Finding the Fourth Proportional to 468,416.11, 702,721.38 and 187,955.23

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Solution

The fourth proportional to 468,416.11, 702,721.38 and 187,955.23 is: 281,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,416.11 : 702,721.38 = 187,955.23 : x
  2. Step 2: Convert to fraction form
    468,416.11/702,721.38 = 187,955.23/x
  3. Step 3: Cross multiply
    468,416.11x = 702,721.38 × 187,955.23
  4. Step 4: Simplify right side
    468,416.11x = 132,080,158,603.82
  5. Step 5: Solve for x
    x = 132,080,158,603.82/468,416.11
  6. Step 6: Final answer
    x = 281,971.85

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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.