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Finding the Fourth Proportional to 343,374.76, 473,834.00 and 190,407.31

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Solution

The fourth proportional to 343,374.76, 473,834.00 and 190,407.31 is: 262,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,374.76 : 473,834.00 = 190,407.31 : x
  2. Step 2: Convert to fraction form
    343,374.76/473,834.00 = 190,407.31/x
  3. Step 3: Cross multiply
    343,374.76x = 473,834.00 × 190,407.31
  4. Step 4: Simplify right side
    343,374.76x = 90,221,456,617.97
  5. Step 5: Solve for x
    x = 90,221,456,617.97/343,374.76
  6. Step 6: Final answer
    x = 262,749.24

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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.