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Finding the Fourth Proportional to 343,466.38, 473,964.25 and 190,493.59

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Solution

The fourth proportional to 343,466.38, 473,964.25 and 190,493.59 is: 262,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,466.38 : 473,964.25 = 190,493.59 : x
  2. Step 2: Convert to fraction form
    343,466.38/473,964.25 = 190,493.59/x
  3. Step 3: Cross multiply
    343,466.38x = 473,964.25 × 190,493.59
  4. Step 4: Simplify right side
    343,466.38x = 90,287,148,831.45
  5. Step 5: Solve for x
    x = 90,287,148,831.45/343,466.38
  6. Step 6: Final answer
    x = 262,870.42

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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.