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Finding the Fourth Proportional to 353,124, 487,311.12 and 194,148

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Solution

The fourth proportional to 353,124, 487,311.12 and 194,148 is: 267,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,124 : 487,311.12 = 194,148 : x
  2. Step 2: Convert to fraction form
    353,124/487,311.12 = 194,148/x
  3. Step 3: Cross multiply
    353,124x = 487,311.12 × 194,148
  4. Step 4: Simplify right side
    353,124x = 94,610,479,325.76
  5. Step 5: Solve for x
    x = 94,610,479,325.76/353,124
  6. Step 6: Final answer
    x = 267,924.24

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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.