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Finding the Fourth Proportional to 277,762.64, 383,312.45 and 150,438.24

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Solution

The fourth proportional to 277,762.64, 383,312.45 and 150,438.24 is: 207,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,762.64 : 383,312.45 = 150,438.24 : x
  2. Step 2: Convert to fraction form
    277,762.64/383,312.45 = 150,438.24/x
  3. Step 3: Cross multiply
    277,762.64x = 383,312.45 × 150,438.24
  4. Step 4: Simplify right side
    277,762.64x = 57,664,850,724.18
  5. Step 5: Solve for x
    x = 57,664,850,724.18/277,762.64
  6. Step 6: Final answer
    x = 207,604.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.