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Finding the Fourth Proportional to 283,963, 391,838.66 and 156,638.58

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Solution

The fourth proportional to 283,963, 391,838.66 and 156,638.58 is: 216,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,963 : 391,838.66 = 156,638.58 : x
  2. Step 2: Convert to fraction form
    283,963/391,838.66 = 156,638.58/x
  3. Step 3: Cross multiply
    283,963x = 391,838.66 × 156,638.58
  4. Step 4: Simplify right side
    283,963x = 61,377,051,291.50
  5. Step 5: Solve for x
    x = 61,377,051,291.50/283,963
  6. Step 6: Final answer
    x = 216,144.54

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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.