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Finding the Fourth Proportional to 512,121.18, 767,935.94 and 242,024.20

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Solution

The fourth proportional to 512,121.18, 767,935.94 and 242,024.20 is: 362,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,121.18 : 767,935.94 = 242,024.20 : x
  2. Step 2: Convert to fraction form
    512,121.18/767,935.94 = 242,024.20/x
  3. Step 3: Cross multiply
    512,121.18x = 767,935.94 × 242,024.20
  4. Step 4: Simplify right side
    512,121.18x = 185,859,084,080.81
  5. Step 5: Solve for x
    x = 185,859,084,080.81/512,121.18
  6. Step 6: Final answer
    x = 362,920.13

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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.