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Finding the Fourth Proportional to 283,804.98, 391,643.55 and 156,478.38

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Solution

The fourth proportional to 283,804.98, 391,643.55 and 156,478.38 is: 215,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,804.98 : 391,643.55 = 156,478.38 : x
  2. Step 2: Convert to fraction form
    283,804.98/391,643.55 = 156,478.38/x
  3. Step 3: Cross multiply
    283,804.98x = 391,643.55 × 156,478.38
  4. Step 4: Simplify right side
    283,804.98x = 61,283,748,241.45
  5. Step 5: Solve for x
    x = 61,283,748,241.45/283,804.98
  6. Step 6: Final answer
    x = 215,936.13

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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.