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Finding the Fourth Proportional to 276,038.10, 414,300.15 and 163,577.70

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Solution

The fourth proportional to 276,038.10, 414,300.15 and 163,577.70 is: 245,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,038.10 : 414,300.15 = 163,577.70 : x
  2. Step 2: Convert to fraction form
    276,038.10/414,300.15 = 163,577.70/x
  3. Step 3: Cross multiply
    276,038.10x = 414,300.15 × 163,577.70
  4. Step 4: Simplify right side
    276,038.10x = 67,770,265,646.66
  5. Step 5: Solve for x
    x = 67,770,265,646.66/276,038.10
  6. Step 6: Final answer
    x = 245,510.55

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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.