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Finding the Fourth Proportional to 462,096.80, 693,166.80 and 146,578.40

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Solution

The fourth proportional to 462,096.80, 693,166.80 and 146,578.40 is: 219,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,096.80 : 693,166.80 = 146,578.40 : x
  2. Step 2: Convert to fraction form
    462,096.80/693,166.80 = 146,578.40/x
  3. Step 3: Cross multiply
    462,096.80x = 693,166.80 × 146,578.40
  4. Step 4: Simplify right side
    462,096.80x = 101,603,280,477.12
  5. Step 5: Solve for x
    x = 101,603,280,477.12/462,096.80
  6. Step 6: Final answer
    x = 219,874.45

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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.