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Finding the Fourth Proportional to 484,099.30, 725,484.64 and 306,288.00

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Solution

The fourth proportional to 484,099.30, 725,484.64 and 306,288.00 is: 459,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,099.30 : 725,484.64 = 306,288.00 : x
  2. Step 2: Convert to fraction form
    484,099.30/725,484.64 = 306,288.00/x
  3. Step 3: Cross multiply
    484,099.30x = 725,484.64 × 306,288.00
  4. Step 4: Simplify right side
    484,099.30x = 222,207,236,836.89
  5. Step 5: Solve for x
    x = 222,207,236,836.89/484,099.30
  6. Step 6: Final answer
    x = 459,011.69

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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.