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Finding the Fourth Proportional to 406,342.66, 560,722.34 and 234,138.28

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Solution

The fourth proportional to 406,342.66, 560,722.34 and 234,138.28 is: 323,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,342.66 : 560,722.34 = 234,138.28 : x
  2. Step 2: Convert to fraction form
    406,342.66/560,722.34 = 234,138.28/x
  3. Step 3: Cross multiply
    406,342.66x = 560,722.34 × 234,138.28
  4. Step 4: Simplify right side
    406,342.66x = 131,286,564,245.18
  5. Step 5: Solve for x
    x = 131,286,564,245.18/406,342.66
  6. Step 6: Final answer
    x = 323,093.23

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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.