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Finding the Fourth Proportional to 343,071.41, 473,438.57 and 192,168.41

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Solution

The fourth proportional to 343,071.41, 473,438.57 and 192,168.41 is: 265,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,071.41 : 473,438.57 = 192,168.41 : x
  2. Step 2: Convert to fraction form
    343,071.41/473,438.57 = 192,168.41/x
  3. Step 3: Cross multiply
    343,071.41x = 473,438.57 × 192,168.41
  4. Step 4: Simplify right side
    343,071.41x = 90,979,933,901.54
  5. Step 5: Solve for x
    x = 90,979,933,901.54/343,071.41
  6. Step 6: Final answer
    x = 265,192.41

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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.