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Finding the Fourth Proportional to 286,065.84, 429,098.75 and 222,933.19

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Solution

The fourth proportional to 286,065.84, 429,098.75 and 222,933.19 is: 334,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,065.84 : 429,098.75 = 222,933.19 : x
  2. Step 2: Convert to fraction form
    286,065.84/429,098.75 = 222,933.19/x
  3. Step 3: Cross multiply
    286,065.84x = 429,098.75 × 222,933.19
  4. Step 4: Simplify right side
    286,065.84x = 95,660,355,417.40
  5. Step 5: Solve for x
    x = 95,660,355,417.40/286,065.84
  6. Step 6: Final answer
    x = 334,399.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.