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Finding the Fourth Proportional to 458,528.62, 687,929.60 and 218,822.48

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Solution

The fourth proportional to 458,528.62, 687,929.60 and 218,822.48 is: 328,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,528.62 : 687,929.60 = 218,822.48 : x
  2. Step 2: Convert to fraction form
    458,528.62/687,929.60 = 218,822.48/x
  3. Step 3: Cross multiply
    458,528.62x = 687,929.60 × 218,822.48
  4. Step 4: Simplify right side
    458,528.62x = 150,534,461,137.41
  5. Step 5: Solve for x
    x = 150,534,461,137.41/458,528.62
  6. Step 6: Final answer
    x = 328,298.94

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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.