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Finding the Fourth Proportional to 286,812.68, 396,206.24 and 229,830.53

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Solution

The fourth proportional to 286,812.68, 396,206.24 and 229,830.53 is: 317,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,812.68 : 396,206.24 = 229,830.53 : x
  2. Step 2: Convert to fraction form
    286,812.68/396,206.24 = 229,830.53/x
  3. Step 3: Cross multiply
    286,812.68x = 396,206.24 × 229,830.53
  4. Step 4: Simplify right side
    286,812.68x = 91,060,292,619.79
  5. Step 5: Solve for x
    x = 91,060,292,619.79/286,812.68
  6. Step 6: Final answer
    x = 317,490.47

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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.