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Finding the Fourth Proportional to 653,843.42, 902,706.48 and 518,424.38

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Solution

The fourth proportional to 653,843.42, 902,706.48 and 518,424.38 is: 715,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,843.42 : 902,706.48 = 518,424.38 : x
  2. Step 2: Convert to fraction form
    653,843.42/902,706.48 = 518,424.38/x
  3. Step 3: Cross multiply
    653,843.42x = 902,706.48 × 518,424.38
  4. Step 4: Simplify right side
    653,843.42x = 467,985,047,215.98
  5. Step 5: Solve for x
    x = 467,985,047,215.98/653,843.42
  6. Step 6: Final answer
    x = 715,744.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.