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Finding the Fourth Proportional to 511,497.02, 767,356.24 and 195,953.92

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Solution

The fourth proportional to 511,497.02, 767,356.24 and 195,953.92 is: 293,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,497.02 : 767,356.24 = 195,953.92 : x
  2. Step 2: Convert to fraction form
    511,497.02/767,356.24 = 195,953.92/x
  3. Step 3: Cross multiply
    511,497.02x = 767,356.24 × 195,953.92
  4. Step 4: Simplify right side
    511,497.02x = 150,366,463,264.46
  5. Step 5: Solve for x
    x = 150,366,463,264.46/511,497.02
  6. Step 6: Final answer
    x = 293,973.29

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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.