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Finding the Fourth Proportional to 464,639.74, 696,967.30 and 127,678.31

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Solution

The fourth proportional to 464,639.74, 696,967.30 and 127,678.31 is: 191,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,639.74 : 696,967.30 = 127,678.31 : x
  2. Step 2: Convert to fraction form
    464,639.74/696,967.30 = 127,678.31/x
  3. Step 3: Cross multiply
    464,639.74x = 696,967.30 × 127,678.31
  4. Step 4: Simplify right side
    464,639.74x = 88,987,603,185.23
  5. Step 5: Solve for x
    x = 88,987,603,185.23/464,639.74
  6. Step 6: Final answer
    x = 191,519.57

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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.