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Finding the Fourth Proportional to 277,823.70, 383,459.40 and 157,034.88

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Solution

The fourth proportional to 277,823.70, 383,459.40 and 157,034.88 is: 216,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,823.70 : 383,459.40 = 157,034.88 : x
  2. Step 2: Convert to fraction form
    277,823.70/383,459.40 = 157,034.88/x
  3. Step 3: Cross multiply
    277,823.70x = 383,459.40 × 157,034.88
  4. Step 4: Simplify right side
    277,823.70x = 60,216,500,863.87
  5. Step 5: Solve for x
    x = 60,216,500,863.87/277,823.70
  6. Step 6: Final answer
    x = 216,743.57

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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.