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Finding the Fourth Proportional to 384,822.60, 577,233.90 and 314,838.60

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Solution

The fourth proportional to 384,822.60, 577,233.90 and 314,838.60 is: 472,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,822.60 : 577,233.90 = 314,838.60 : x
  2. Step 2: Convert to fraction form
    384,822.60/577,233.90 = 314,838.60/x
  3. Step 3: Cross multiply
    384,822.60x = 577,233.90 × 314,838.60
  4. Step 4: Simplify right side
    384,822.60x = 181,735,512,948.54
  5. Step 5: Solve for x
    x = 181,735,512,948.54/384,822.60
  6. Step 6: Final answer
    x = 472,257.90

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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.