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Finding the Fourth Proportional to 511,908.90, 766,755.21 and 333,875.82

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Solution

The fourth proportional to 511,908.90, 766,755.21 and 333,875.82 is: 500,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,908.90 : 766,755.21 = 333,875.82 : x
  2. Step 2: Convert to fraction form
    511,908.90/766,755.21 = 333,875.82/x
  3. Step 3: Cross multiply
    511,908.90x = 766,755.21 × 333,875.82
  4. Step 4: Simplify right side
    511,908.90x = 256,001,024,478.02
  5. Step 5: Solve for x
    x = 256,001,024,478.02/511,908.90
  6. Step 6: Final answer
    x = 500,090.98

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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.