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Finding the Fourth Proportional to 465,931, 698,896.50 and 133,507

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Solution

The fourth proportional to 465,931, 698,896.50 and 133,507 is: 200,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,931 : 698,896.50 = 133,507 : x
  2. Step 2: Convert to fraction form
    465,931/698,896.50 = 133,507/x
  3. Step 3: Cross multiply
    465,931x = 698,896.50 × 133,507
  4. Step 4: Simplify right side
    465,931x = 93,307,575,025.50
  5. Step 5: Solve for x
    x = 93,307,575,025.50/465,931
  6. Step 6: Final answer
    x = 200,260.50

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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.