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Finding the Fourth Proportional to 277,477.53, 416,344.74 and 150,967.07

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Solution

The fourth proportional to 277,477.53, 416,344.74 and 150,967.07 is: 226,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,477.53 : 416,344.74 = 150,967.07 : x
  2. Step 2: Convert to fraction form
    277,477.53/416,344.74 = 150,967.07/x
  3. Step 3: Cross multiply
    277,477.53x = 416,344.74 × 150,967.07
  4. Step 4: Simplify right side
    277,477.53x = 62,854,345,507.71
  5. Step 5: Solve for x
    x = 62,854,345,507.71/277,477.53
  6. Step 6: Final answer
    x = 226,520.49

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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.