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Finding the Fourth Proportional to 277,978.24, 383,586.88 and 157,130.24

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Solution

The fourth proportional to 277,978.24, 383,586.88 and 157,130.24 is: 216,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,978.24 : 383,586.88 = 157,130.24 : x
  2. Step 2: Convert to fraction form
    277,978.24/383,586.88 = 157,130.24/x
  3. Step 3: Cross multiply
    277,978.24x = 383,586.88 × 157,130.24
  4. Step 4: Simplify right side
    277,978.24x = 60,273,098,515.25
  5. Step 5: Solve for x
    x = 60,273,098,515.25/277,978.24
  6. Step 6: Final answer
    x = 216,826.68

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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.