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Finding the Fourth Proportional to 277,522.74, 416,411.28 and 150,973.40

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Solution

The fourth proportional to 277,522.74, 416,411.28 and 150,973.40 is: 226,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,522.74 : 416,411.28 = 150,973.40 : x
  2. Step 2: Convert to fraction form
    277,522.74/416,411.28 = 150,973.40/x
  3. Step 3: Cross multiply
    277,522.74x = 416,411.28 × 150,973.40
  4. Step 4: Simplify right side
    277,522.74x = 62,867,027,780.98
  5. Step 5: Solve for x
    x = 62,867,027,780.98/277,522.74
  6. Step 6: Final answer
    x = 226,529.28

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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.