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Finding the Fourth Proportional to 513,017.52, 769,454 and 176,052.26

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Solution

The fourth proportional to 513,017.52, 769,454 and 176,052.26 is: 264,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,017.52 : 769,454 = 176,052.26 : x
  2. Step 2: Convert to fraction form
    513,017.52/769,454 = 176,052.26/x
  3. Step 3: Cross multiply
    513,017.52x = 769,454 × 176,052.26
  4. Step 4: Simplify right side
    513,017.52x = 135,464,115,666.04
  5. Step 5: Solve for x
    x = 135,464,115,666.04/513,017.52
  6. Step 6: Final answer
    x = 264,053.59

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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.