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Finding the Fourth Proportional to 462,118.51, 693,172.28 and 146,578.15

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Solution

The fourth proportional to 462,118.51, 693,172.28 and 146,578.15 is: 219,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,118.51 : 693,172.28 = 146,578.15 : x
  2. Step 2: Convert to fraction form
    462,118.51/693,172.28 = 146,578.15/x
  3. Step 3: Cross multiply
    462,118.51x = 693,172.28 × 146,578.15
  4. Step 4: Simplify right side
    462,118.51x = 101,603,909,700.79
  5. Step 5: Solve for x
    x = 101,603,909,700.79/462,118.51
  6. Step 6: Final answer
    x = 219,865.48

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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.