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Finding the Fourth Proportional to 465,084.63, 641,886.93 and 283,901.94

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Solution

The fourth proportional to 465,084.63, 641,886.93 and 283,901.94 is: 391,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,084.63 : 641,886.93 = 283,901.94 : x
  2. Step 2: Convert to fraction form
    465,084.63/641,886.93 = 283,901.94/x
  3. Step 3: Cross multiply
    465,084.63x = 641,886.93 × 283,901.94
  4. Step 4: Simplify right side
    465,084.63x = 182,232,944,687.64
  5. Step 5: Solve for x
    x = 182,232,944,687.64/465,084.63
  6. Step 6: Final answer
    x = 391,827.49

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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.