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Finding the Fourth Proportional to 333,774.96, 500,710.16 and 102,983.50

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Solution

The fourth proportional to 333,774.96, 500,710.16 and 102,983.50 is: 154,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,774.96 : 500,710.16 = 102,983.50 : x
  2. Step 2: Convert to fraction form
    333,774.96/500,710.16 = 102,983.50/x
  3. Step 3: Cross multiply
    333,774.96x = 500,710.16 × 102,983.50
  4. Step 4: Simplify right side
    333,774.96x = 51,564,884,247.44
  5. Step 5: Solve for x
    x = 51,564,884,247.44/333,774.96
  6. Step 6: Final answer
    x = 154,489.97

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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.