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Finding the Fourth Proportional to 277,823.84, 383,377.96 and 156,970.20

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Solution

The fourth proportional to 277,823.84, 383,377.96 and 156,970.20 is: 216,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,823.84 : 383,377.96 = 156,970.20 : x
  2. Step 2: Convert to fraction form
    277,823.84/383,377.96 = 156,970.20/x
  3. Step 3: Cross multiply
    277,823.84x = 383,377.96 × 156,970.20
  4. Step 4: Simplify right side
    277,823.84x = 60,178,915,056.79
  5. Step 5: Solve for x
    x = 60,178,915,056.79/277,823.84
  6. Step 6: Final answer
    x = 216,608.18

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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.