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Finding the Fourth Proportional to 562,297.60, 843,640.80 and 542,857.60

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Solution

The fourth proportional to 562,297.60, 843,640.80 and 542,857.60 is: 814,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,297.60 : 843,640.80 = 542,857.60 : x
  2. Step 2: Convert to fraction form
    562,297.60/843,640.80 = 542,857.60/x
  3. Step 3: Cross multiply
    562,297.60x = 843,640.80 × 542,857.60
  4. Step 4: Simplify right side
    562,297.60x = 457,976,819,950.08
  5. Step 5: Solve for x
    x = 457,976,819,950.08/562,297.60
  6. Step 6: Final answer
    x = 814,474.08

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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.