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Finding the Fourth Proportional to 562,856.76, 844,596.84 and 208,103.52

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Solution

The fourth proportional to 562,856.76, 844,596.84 and 208,103.52 is: 312,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,856.76 : 844,596.84 = 208,103.52 : x
  2. Step 2: Convert to fraction form
    562,856.76/844,596.84 = 208,103.52/x
  3. Step 3: Cross multiply
    562,856.76x = 844,596.84 × 208,103.52
  4. Step 4: Simplify right side
    562,856.76x = 175,763,575,384.88
  5. Step 5: Solve for x
    x = 175,763,575,384.88/562,856.76
  6. Step 6: Final answer
    x = 312,270.52

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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.