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Finding the Fourth Proportional to 493,282.18, 680,710.50 and 309,619.02

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Solution

The fourth proportional to 493,282.18, 680,710.50 and 309,619.02 is: 427,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,282.18 : 680,710.50 = 309,619.02 : x
  2. Step 2: Convert to fraction form
    493,282.18/680,710.50 = 309,619.02/x
  3. Step 3: Cross multiply
    493,282.18x = 680,710.50 × 309,619.02
  4. Step 4: Simplify right side
    493,282.18x = 210,760,917,913.71
  5. Step 5: Solve for x
    x = 210,760,917,913.71/493,282.18
  6. Step 6: Final answer
    x = 427,262.38

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Why These Related Problems?

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