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Finding the Fourth Proportional to 242,820.20, 364,230.30 and 228,045.80

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Solution

The fourth proportional to 242,820.20, 364,230.30 and 228,045.80 is: 342,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,820.20 : 364,230.30 = 228,045.80 : x
  2. Step 2: Convert to fraction form
    242,820.20/364,230.30 = 228,045.80/x
  3. Step 3: Cross multiply
    242,820.20x = 364,230.30 × 228,045.80
  4. Step 4: Simplify right side
    242,820.20x = 83,061,190,147.74
  5. Step 5: Solve for x
    x = 83,061,190,147.74/242,820.20
  6. Step 6: Final answer
    x = 342,068.70

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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.