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Finding the Fourth Proportional to 484,200, 726,416.64 and 151,776

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Solution

The fourth proportional to 484,200, 726,416.64 and 151,776 is: 227,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,200 : 726,416.64 = 151,776 : x
  2. Step 2: Convert to fraction form
    484,200/726,416.64 = 151,776/x
  3. Step 3: Cross multiply
    484,200x = 726,416.64 × 151,776
  4. Step 4: Simplify right side
    484,200x = 110,252,611,952.64
  5. Step 5: Solve for x
    x = 110,252,611,952.64/484,200
  6. Step 6: Final answer
    x = 227,700.56

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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.