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Finding the Fourth Proportional to 350,410, 483,565.86 and 191,434

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Solution

The fourth proportional to 350,410, 483,565.86 and 191,434 is: 264,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,410 : 483,565.86 = 191,434 : x
  2. Step 2: Convert to fraction form
    350,410/483,565.86 = 191,434/x
  3. Step 3: Cross multiply
    350,410x = 483,565.86 × 191,434
  4. Step 4: Simplify right side
    350,410x = 92,570,946,843.24
  5. Step 5: Solve for x
    x = 92,570,946,843.24/350,410
  6. Step 6: Final answer
    x = 264,178.95

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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.