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Finding the Fourth Proportional to 511,759, 767,638.50 and 179,335

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Solution

The fourth proportional to 511,759, 767,638.50 and 179,335 is: 269,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,759 : 767,638.50 = 179,335 : x
  2. Step 2: Convert to fraction form
    511,759/767,638.50 = 179,335/x
  3. Step 3: Cross multiply
    511,759x = 767,638.50 × 179,335
  4. Step 4: Simplify right side
    511,759x = 137,664,450,397.50
  5. Step 5: Solve for x
    x = 137,664,450,397.50/511,759
  6. Step 6: Final answer
    x = 269,002.50

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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.