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Finding the Fourth Proportional to 333,774.71, 500,709.78 and 102,983.25

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Solution

The fourth proportional to 333,774.71, 500,709.78 and 102,983.25 is: 154,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,774.71 : 500,709.78 = 102,983.25 : x
  2. Step 2: Convert to fraction form
    333,774.71/500,709.78 = 102,983.25/x
  3. Step 3: Cross multiply
    333,774.71x = 500,709.78 × 102,983.25
  4. Step 4: Simplify right side
    333,774.71x = 51,564,720,451.19
  5. Step 5: Solve for x
    x = 51,564,720,451.19/333,774.71
  6. Step 6: Final answer
    x = 154,489.60

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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.