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Finding the Fourth Proportional to 283,857.50, 391,705.47 and 162,913.67

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Solution

The fourth proportional to 283,857.50, 391,705.47 and 162,913.67 is: 224,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,857.50 : 391,705.47 = 162,913.67 : x
  2. Step 2: Convert to fraction form
    283,857.50/391,705.47 = 162,913.67/x
  3. Step 3: Cross multiply
    283,857.50x = 391,705.47 × 162,913.67
  4. Step 4: Simplify right side
    283,857.50x = 63,814,175,676.77
  5. Step 5: Solve for x
    x = 63,814,175,676.77/283,857.50
  6. Step 6: Final answer
    x = 224,810.60

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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.