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Finding the Fourth Proportional to 242,258.45, 363,978.97 and 228,830.27

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Solution

The fourth proportional to 242,258.45, 363,978.97 and 228,830.27 is: 343,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,258.45 : 363,978.97 = 228,830.27 : x
  2. Step 2: Convert to fraction form
    242,258.45/363,978.97 = 228,830.27/x
  3. Step 3: Cross multiply
    242,258.45x = 363,978.97 × 228,830.27
  4. Step 4: Simplify right side
    242,258.45x = 83,289,403,587.45
  5. Step 5: Solve for x
    x = 83,289,403,587.45/242,258.45
  6. Step 6: Final answer
    x = 343,803.92

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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.