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Finding the Fourth Proportional to 562,052.16, 775,638 and 307,397.88

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Solution

The fourth proportional to 562,052.16, 775,638 and 307,397.88 is: 424,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,052.16 : 775,638 = 307,397.88 : x
  2. Step 2: Convert to fraction form
    562,052.16/775,638 = 307,397.88/x
  3. Step 3: Cross multiply
    562,052.16x = 775,638 × 307,397.88
  4. Step 4: Simplify right side
    562,052.16x = 238,429,476,847.44
  5. Step 5: Solve for x
    x = 238,429,476,847.44/562,052.16
  6. Step 6: Final answer
    x = 424,212.37

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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.