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Finding the Fourth Proportional to 283,804.16, 391,631.76 and 162,860.42

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Solution

The fourth proportional to 283,804.16, 391,631.76 and 162,860.42 is: 224,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,804.16 : 391,631.76 = 162,860.42 : x
  2. Step 2: Convert to fraction form
    283,804.16/391,631.76 = 162,860.42/x
  3. Step 3: Cross multiply
    283,804.16x = 391,631.76 × 162,860.42
  4. Step 4: Simplify right side
    283,804.16x = 63,781,313,898.02
  5. Step 5: Solve for x
    x = 63,781,313,898.02/283,804.16
  6. Step 6: Final answer
    x = 224,737.07

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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.