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Finding the Fourth Proportional to 283,971.66, 391,880.90 and 156,647.22

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Solution

The fourth proportional to 283,971.66, 391,880.90 and 156,647.22 is: 216,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,971.66 : 391,880.90 = 156,647.22 : x
  2. Step 2: Convert to fraction form
    283,971.66/391,880.90 = 156,647.22/x
  3. Step 3: Cross multiply
    283,971.66x = 391,880.90 × 156,647.22
  4. Step 4: Simplify right side
    283,971.66x = 61,387,053,556.10
  5. Step 5: Solve for x
    x = 61,387,053,556.10/283,971.66
  6. Step 6: Final answer
    x = 216,173.17

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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.