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Finding the Fourth Proportional to 242,827.20, 364,240.80 and 228,052.80

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Solution

The fourth proportional to 242,827.20, 364,240.80 and 228,052.80 is: 342,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,827.20 : 364,240.80 = 228,052.80 : x
  2. Step 2: Convert to fraction form
    242,827.20/364,240.80 = 228,052.80/x
  3. Step 3: Cross multiply
    242,827.20x = 364,240.80 × 228,052.80
  4. Step 4: Simplify right side
    242,827.20x = 83,066,134,314.24
  5. Step 5: Solve for x
    x = 83,066,134,314.24/242,827.20
  6. Step 6: Final answer
    x = 342,079.20

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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.