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Finding the Fourth Proportional to 343,462.92, 473,971.74 and 190,476.44

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Solution

The fourth proportional to 343,462.92, 473,971.74 and 190,476.44 is: 262,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,462.92 : 473,971.74 = 190,476.44 : x
  2. Step 2: Convert to fraction form
    343,462.92/473,971.74 = 190,476.44/x
  3. Step 3: Cross multiply
    343,462.92x = 473,971.74 × 190,476.44
  4. Step 4: Simplify right side
    343,462.92x = 90,280,449,695.81
  5. Step 5: Solve for x
    x = 90,280,449,695.81/343,462.92
  6. Step 6: Final answer
    x = 262,853.56

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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.