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Finding the Fourth Proportional to 276,229.90, 414,365.74 and 76,547.98

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Solution

The fourth proportional to 276,229.90, 414,365.74 and 76,547.98 is: 114,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,229.90 : 414,365.74 = 76,547.98 : x
  2. Step 2: Convert to fraction form
    276,229.90/414,365.74 = 76,547.98/x
  3. Step 3: Cross multiply
    276,229.90x = 414,365.74 × 76,547.98
  4. Step 4: Simplify right side
    276,229.90x = 31,718,860,378.21
  5. Step 5: Solve for x
    x = 31,718,860,378.21/276,229.90
  6. Step 6: Final answer
    x = 114,827.76

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1.5x scale

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.