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Finding the Fourth Proportional to 562,488.72, 843,798.54 and 197,638.20

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Solution

The fourth proportional to 562,488.72, 843,798.54 and 197,638.20 is: 296,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,488.72 : 843,798.54 = 197,638.20 : x
  2. Step 2: Convert to fraction form
    562,488.72/843,798.54 = 197,638.20/x
  3. Step 3: Cross multiply
    562,488.72x = 843,798.54 × 197,638.20
  4. Step 4: Simplify right side
    562,488.72x = 166,766,824,608.23
  5. Step 5: Solve for x
    x = 166,766,824,608.23/562,488.72
  6. Step 6: Final answer
    x = 296,480.30

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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.