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Finding the Fourth Proportional to 513,658.14, 770,295.62 and 176,603.36

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Solution

The fourth proportional to 513,658.14, 770,295.62 and 176,603.36 is: 264,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,658.14 : 770,295.62 = 176,603.36 : x
  2. Step 2: Convert to fraction form
    513,658.14/770,295.62 = 176,603.36/x
  3. Step 3: Cross multiply
    513,658.14x = 770,295.62 × 176,603.36
  4. Step 4: Simplify right side
    513,658.14x = 136,036,794,685.28
  5. Step 5: Solve for x
    x = 136,036,794,685.28/513,658.14
  6. Step 6: Final answer
    x = 264,839.17

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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.