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Finding the Fourth Proportional to 343,052.71, 473,643.77 and 214,187.38

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Solution

The fourth proportional to 343,052.71, 473,643.77 and 214,187.38 is: 295,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,052.71 : 473,643.77 = 214,187.38 : x
  2. Step 2: Convert to fraction form
    343,052.71/473,643.77 = 214,187.38/x
  3. Step 3: Cross multiply
    343,052.71x = 473,643.77 × 214,187.38
  4. Step 4: Simplify right side
    343,052.71x = 101,448,517,078.69
  5. Step 5: Solve for x
    x = 101,448,517,078.69/343,052.71
  6. Step 6: Final answer
    x = 295,722.83

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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.