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Finding the Fourth Proportional to 4,497,777.89, 6,746,661.59 and 1,465,138.85

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Solution

The fourth proportional to 4,497,777.89, 6,746,661.59 and 1,465,138.85 is: 2,197,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,777.89 : 6,746,661.59 = 1,465,138.85 : x
  2. Step 2: Convert to fraction form
    4,497,777.89/6,746,661.59 = 1,465,138.85/x
  3. Step 3: Cross multiply
    4,497,777.89x = 6,746,661.59 × 1,465,138.85
  4. Step 4: Simplify right side
    4,497,777.89x = 9,884,796,003,311.77
  5. Step 5: Solve for x
    x = 9,884,796,003,311.77/4,497,777.89
  6. Step 6: Final answer
    x = 2,197,706.57

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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.