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Finding the Fourth Proportional to 467,282.64, 700,913.83 and 130,314.30

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Solution

The fourth proportional to 467,282.64, 700,913.83 and 130,314.30 is: 195,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,282.64 : 700,913.83 = 130,314.30 : x
  2. Step 2: Convert to fraction form
    467,282.64/700,913.83 = 130,314.30/x
  3. Step 3: Cross multiply
    467,282.64x = 700,913.83 × 130,314.30
  4. Step 4: Simplify right side
    467,282.64x = 91,339,095,116.77
  5. Step 5: Solve for x
    x = 91,339,095,116.77/467,282.64
  6. Step 6: Final answer
    x = 195,468.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.