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Finding the Fourth Proportional to 464,420.50, 696,639.39 and 132,005.14

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Solution

The fourth proportional to 464,420.50, 696,639.39 and 132,005.14 is: 198,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,420.50 : 696,639.39 = 132,005.14 : x
  2. Step 2: Convert to fraction form
    464,420.50/696,639.39 = 132,005.14/x
  3. Step 3: Cross multiply
    464,420.50x = 696,639.39 × 132,005.14
  4. Step 4: Simplify right side
    464,420.50x = 91,959,980,206.46
  5. Step 5: Solve for x
    x = 91,959,980,206.46/464,420.50
  6. Step 6: Final answer
    x = 198,010.17

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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.