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Finding the Fourth Proportional to 467,281.30, 700,921.95 and 147,465.59

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Solution

The fourth proportional to 467,281.30, 700,921.95 and 147,465.59 is: 221,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,281.30 : 700,921.95 = 147,465.59 : x
  2. Step 2: Convert to fraction form
    467,281.30/700,921.95 = 147,465.59/x
  3. Step 3: Cross multiply
    467,281.30x = 700,921.95 × 147,465.59
  4. Step 4: Simplify right side
    467,281.30x = 103,361,865,396.09
  5. Step 5: Solve for x
    x = 103,361,865,396.09/467,281.30
  6. Step 6: Final answer
    x = 221,198.38

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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.