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Finding the Fourth Proportional to 511,744.49, 766,019.35 and 376,960.51

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Solution

The fourth proportional to 511,744.49, 766,019.35 and 376,960.51 is: 564,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,744.49 : 766,019.35 = 376,960.51 : x
  2. Step 2: Convert to fraction form
    511,744.49/766,019.35 = 376,960.51/x
  3. Step 3: Cross multiply
    511,744.49x = 766,019.35 × 376,960.51
  4. Step 4: Simplify right side
    511,744.49x = 288,759,045,590.48
  5. Step 5: Solve for x
    x = 288,759,045,590.48/511,744.49
  6. Step 6: Final answer
    x = 564,264.11

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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.