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Finding the Fourth Proportional to 385,924.50, 532,575.81 and 216,162.27

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Solution

The fourth proportional to 385,924.50, 532,575.81 and 216,162.27 is: 298,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,924.50 : 532,575.81 = 216,162.27 : x
  2. Step 2: Convert to fraction form
    385,924.50/532,575.81 = 216,162.27/x
  3. Step 3: Cross multiply
    385,924.50x = 532,575.81 × 216,162.27
  4. Step 4: Simplify right side
    385,924.50x = 115,122,796,036.69
  5. Step 5: Solve for x
    x = 115,122,796,036.69/385,924.50
  6. Step 6: Final answer
    x = 298,303.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.