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Finding the Fourth Proportional to 277,509.17, 416,008.59 and 99,972.76

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Solution

The fourth proportional to 277,509.17, 416,008.59 and 99,972.76 is: 149,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,509.17 : 416,008.59 = 99,972.76 : x
  2. Step 2: Convert to fraction form
    277,509.17/416,008.59 = 99,972.76/x
  3. Step 3: Cross multiply
    277,509.17x = 416,008.59 × 99,972.76
  4. Step 4: Simplify right side
    277,509.17x = 41,589,526,926.01
  5. Step 5: Solve for x
    x = 41,589,526,926.01/277,509.17
  6. Step 6: Final answer
    x = 149,867.22

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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.