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Finding the Fourth Proportional to 343,416.31, 473,898.06 and 190,442.54

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Solution

The fourth proportional to 343,416.31, 473,898.06 and 190,442.54 is: 262,801.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,416.31 : 473,898.06 = 190,442.54 : x
  2. Step 2: Convert to fraction form
    343,416.31/473,898.06 = 190,442.54/x
  3. Step 3: Cross multiply
    343,416.31x = 473,898.06 × 190,442.54
  4. Step 4: Simplify right side
    343,416.31x = 90,250,351,432.22
  5. Step 5: Solve for x
    x = 90,250,351,432.22/343,416.31
  6. Step 6: Final answer
    x = 262,801.59

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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.