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Finding the Fourth Proportional to 533,264.50, 799,896.75 and 159,287.50

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Solution

The fourth proportional to 533,264.50, 799,896.75 and 159,287.50 is: 238,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,264.50 : 799,896.75 = 159,287.50 : x
  2. Step 2: Convert to fraction form
    533,264.50/799,896.75 = 159,287.50/x
  3. Step 3: Cross multiply
    533,264.50x = 799,896.75 × 159,287.50
  4. Step 4: Simplify right side
    533,264.50x = 127,413,553,565.63
  5. Step 5: Solve for x
    x = 127,413,553,565.63/533,264.50
  6. Step 6: Final answer
    x = 238,931.25

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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.