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Finding the Fourth Proportional to 343,362, 473,854.14 and 192,459

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Solution

The fourth proportional to 343,362, 473,854.14 and 192,459 is: 265,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,362 : 473,854.14 = 192,459 : x
  2. Step 2: Convert to fraction form
    343,362/473,854.14 = 192,459/x
  3. Step 3: Cross multiply
    343,362x = 473,854.14 × 192,459
  4. Step 4: Simplify right side
    343,362x = 91,197,493,930.26
  5. Step 5: Solve for x
    x = 91,197,493,930.26/343,362
  6. Step 6: Final answer
    x = 265,601.59

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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.