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Finding the Fourth Proportional to 353,582.64, 487,956.02 and 192,443.54

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Solution

The fourth proportional to 353,582.64, 487,956.02 and 192,443.54 is: 265,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,582.64 : 487,956.02 = 192,443.54 : x
  2. Step 2: Convert to fraction form
    353,582.64/487,956.02 = 192,443.54/x
  3. Step 3: Cross multiply
    353,582.64x = 487,956.02 × 192,443.54
  4. Step 4: Simplify right side
    353,582.64x = 93,903,980,451.11
  5. Step 5: Solve for x
    x = 93,903,980,451.11/353,582.64
  6. Step 6: Final answer
    x = 265,578.59

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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.