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Finding the Fourth Proportional to 277,426.29, 416,040.94 and 99,885.63

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Solution

The fourth proportional to 277,426.29, 416,040.94 and 99,885.63 is: 149,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,426.29 : 416,040.94 = 99,885.63 : x
  2. Step 2: Convert to fraction form
    277,426.29/416,040.94 = 99,885.63/x
  3. Step 3: Cross multiply
    277,426.29x = 416,040.94 × 99,885.63
  4. Step 4: Simplify right side
    277,426.29x = 41,556,511,397.69
  5. Step 5: Solve for x
    x = 41,556,511,397.69/277,426.29
  6. Step 6: Final answer
    x = 149,792.98

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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.