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Finding the Fourth Proportional to 513,623.31, 770,246.33 and 176,568.33

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Solution

The fourth proportional to 513,623.31, 770,246.33 and 176,568.33 is: 264,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,623.31 : 770,246.33 = 176,568.33 : x
  2. Step 2: Convert to fraction form
    513,623.31/770,246.33 = 176,568.33/x
  3. Step 3: Cross multiply
    513,623.31x = 770,246.33 × 176,568.33
  4. Step 4: Simplify right side
    513,623.31x = 136,001,111,065.15
  5. Step 5: Solve for x
    x = 136,001,111,065.15/513,623.31
  6. Step 6: Final answer
    x = 264,787.66

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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.