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Finding the Fourth Proportional to 484,808.80, 727,213.20 and 152,384.80

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Solution

The fourth proportional to 484,808.80, 727,213.20 and 152,384.80 is: 228,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,808.80 : 727,213.20 = 152,384.80 : x
  2. Step 2: Convert to fraction form
    484,808.80/727,213.20 = 152,384.80/x
  3. Step 3: Cross multiply
    484,808.80x = 727,213.20 × 152,384.80
  4. Step 4: Simplify right side
    484,808.80x = 110,816,238,039.36
  5. Step 5: Solve for x
    x = 110,816,238,039.36/484,808.80
  6. Step 6: Final answer
    x = 228,577.20

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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.