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Finding the Fourth Proportional to 343,097.52, 473,474.64 and 192,197.76

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Solution

The fourth proportional to 343,097.52, 473,474.64 and 192,197.76 is: 265,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,097.52 : 473,474.64 = 192,197.76 : x
  2. Step 2: Convert to fraction form
    343,097.52/473,474.64 = 192,197.76/x
  3. Step 3: Cross multiply
    343,097.52x = 473,474.64 × 192,197.76
  4. Step 4: Simplify right side
    343,097.52x = 91,000,765,224.81
  5. Step 5: Solve for x
    x = 91,000,765,224.81/343,097.52
  6. Step 6: Final answer
    x = 265,232.94

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1.5x scale

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.