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Finding the Fourth Proportional to 385,322.86, 531,852.51 and 224,209.14

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Solution

The fourth proportional to 385,322.86, 531,852.51 and 224,209.14 is: 309,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,322.86 : 531,852.51 = 224,209.14 : x
  2. Step 2: Convert to fraction form
    385,322.86/531,852.51 = 224,209.14/x
  3. Step 3: Cross multiply
    385,322.86x = 531,852.51 × 224,209.14
  4. Step 4: Simplify right side
    385,322.86x = 119,246,193,873.94
  5. Step 5: Solve for x
    x = 119,246,193,873.94/385,322.86
  6. Step 6: Final answer
    x = 309,470.85

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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.