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Finding the Fourth Proportional to 474,825.16, 712,406.22 and 159,281.56

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Solution

The fourth proportional to 474,825.16, 712,406.22 and 159,281.56 is: 238,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,825.16 : 712,406.22 = 159,281.56 : x
  2. Step 2: Convert to fraction form
    474,825.16/712,406.22 = 159,281.56/x
  3. Step 3: Cross multiply
    474,825.16x = 712,406.22 × 159,281.56
  4. Step 4: Simplify right side
    474,825.16x = 113,473,174,075.30
  5. Step 5: Solve for x
    x = 113,473,174,075.30/474,825.16
  6. Step 6: Final answer
    x = 238,978.86

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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.