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Finding the Fourth Proportional to 343,361, 473,852.76 and 192,458

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Solution

The fourth proportional to 343,361, 473,852.76 and 192,458 is: 265,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,361 : 473,852.76 = 192,458 : x
  2. Step 2: Convert to fraction form
    343,361/473,852.76 = 192,458/x
  3. Step 3: Cross multiply
    343,361x = 473,852.76 × 192,458
  4. Step 4: Simplify right side
    343,361x = 91,196,754,484.08
  5. Step 5: Solve for x
    x = 91,196,754,484.08/343,361
  6. Step 6: Final answer
    x = 265,600.21

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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.