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Finding the Fourth Proportional to 513,483.25, 770,242.43 and 176,521.02

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Solution

The fourth proportional to 513,483.25, 770,242.43 and 176,521.02 is: 264,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,483.25 : 770,242.43 = 176,521.02 : x
  2. Step 2: Convert to fraction form
    513,483.25/770,242.43 = 176,521.02/x
  3. Step 3: Cross multiply
    513,483.25x = 770,242.43 × 176,521.02
  4. Step 4: Simplify right side
    513,483.25x = 135,963,979,390.88
  5. Step 5: Solve for x
    x = 135,963,979,390.88/513,483.25
  6. Step 6: Final answer
    x = 264,787.56

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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.