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Finding the Fourth Proportional to 484,807.68, 727,209.52 and 147,847.34

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Solution

The fourth proportional to 484,807.68, 727,209.52 and 147,847.34 is: 221,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,807.68 : 727,209.52 = 147,847.34 : x
  2. Step 2: Convert to fraction form
    484,807.68/727,209.52 = 147,847.34/x
  3. Step 3: Cross multiply
    484,807.68x = 727,209.52 × 147,847.34
  4. Step 4: Simplify right side
    484,807.68x = 107,515,994,603.08
  5. Step 5: Solve for x
    x = 107,515,994,603.08/484,807.68
  6. Step 6: Final answer
    x = 221,770.40

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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.