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Finding the Fourth Proportional to 283,715.68, 391,417.76 and 162,813.28

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Solution

The fourth proportional to 283,715.68, 391,417.76 and 162,813.28 is: 224,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,715.68 : 391,417.76 = 162,813.28 : x
  2. Step 2: Convert to fraction form
    283,715.68/391,417.76 = 162,813.28/x
  3. Step 3: Cross multiply
    283,715.68x = 391,417.76 × 162,813.28
  4. Step 4: Simplify right side
    283,715.68x = 63,728,009,355.85
  5. Step 5: Solve for x
    x = 63,728,009,355.85/283,715.68
  6. Step 6: Final answer
    x = 224,619.27

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