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Finding the Fourth Proportional to 562,648.48, 843,797.76 and 188,584

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Solution

The fourth proportional to 562,648.48, 843,797.76 and 188,584 is: 282,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,648.48 : 843,797.76 = 188,584 : x
  2. Step 2: Convert to fraction form
    562,648.48/843,797.76 = 188,584/x
  3. Step 3: Cross multiply
    562,648.48x = 843,797.76 × 188,584
  4. Step 4: Simplify right side
    562,648.48x = 159,126,756,771.84
  5. Step 5: Solve for x
    x = 159,126,756,771.84/562,648.48
  6. Step 6: Final answer
    x = 282,817.36

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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.