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Finding the Fourth Proportional to 343,716.48, 474,296.88 and 192,784.32

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Solution

The fourth proportional to 343,716.48, 474,296.88 and 192,784.32 is: 266,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,716.48 : 474,296.88 = 192,784.32 : x
  2. Step 2: Convert to fraction form
    343,716.48/474,296.88 = 192,784.32/x
  3. Step 3: Cross multiply
    343,716.48x = 474,296.88 × 192,784.32
  4. Step 4: Simplify right side
    343,716.48x = 91,437,001,488.92
  5. Step 5: Solve for x
    x = 91,437,001,488.92/343,716.48
  6. Step 6: Final answer
    x = 266,024.49

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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.