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Finding the Fourth Proportional to 277,898.40, 383,498.16 and 157,078.80

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Solution

The fourth proportional to 277,898.40, 383,498.16 and 157,078.80 is: 216,767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,898.40 : 383,498.16 = 157,078.80 : x
  2. Step 2: Convert to fraction form
    277,898.40/383,498.16 = 157,078.80/x
  3. Step 3: Cross multiply
    277,898.40x = 383,498.16 × 157,078.80
  4. Step 4: Simplify right side
    277,898.40x = 60,239,430,775.01
  5. Step 5: Solve for x
    x = 60,239,430,775.01/277,898.40
  6. Step 6: Final answer
    x = 216,767.82

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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.