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Finding the Fourth Proportional to 262,398.96, 362,130.12 and 160,443.72

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Solution

The fourth proportional to 262,398.96, 362,130.12 and 160,443.72 is: 221,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,398.96 : 362,130.12 = 160,443.72 : x
  2. Step 2: Convert to fraction form
    262,398.96/362,130.12 = 160,443.72/x
  3. Step 3: Cross multiply
    262,398.96x = 362,130.12 × 160,443.72
  4. Step 4: Simplify right side
    262,398.96x = 58,101,503,576.85
  5. Step 5: Solve for x
    x = 58,101,503,576.85/262,398.96
  6. Step 6: Final answer
    x = 221,424.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.