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Finding the Fourth Proportional to 442,249, 663,477.18 and 146,761

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Solution

The fourth proportional to 442,249, 663,477.18 and 146,761 is: 220,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,249 : 663,477.18 = 146,761 : x
  2. Step 2: Convert to fraction form
    442,249/663,477.18 = 146,761/x
  3. Step 3: Cross multiply
    442,249x = 663,477.18 × 146,761
  4. Step 4: Simplify right side
    442,249x = 97,372,574,413.98
  5. Step 5: Solve for x
    x = 97,372,574,413.98/442,249
  6. Step 6: Final answer
    x = 220,175.91

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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.