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Finding the Fourth Proportional to 511,384.10, 767,263.20 and 237,960.71

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Solution

The fourth proportional to 511,384.10, 767,263.20 and 237,960.71 is: 357,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,384.10 : 767,263.20 = 237,960.71 : x
  2. Step 2: Convert to fraction form
    511,384.10/767,263.20 = 237,960.71/x
  3. Step 3: Cross multiply
    511,384.10x = 767,263.20 × 237,960.71
  4. Step 4: Simplify right side
    511,384.10x = 182,578,500,301.09
  5. Step 5: Solve for x
    x = 182,578,500,301.09/511,384.10
  6. Step 6: Final answer
    x = 357,028.11

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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.