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Finding the Fourth Proportional to 581,684.68, 802,455.42 and 339,977.44

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Solution

The fourth proportional to 581,684.68, 802,455.42 and 339,977.44 is: 469,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,684.68 : 802,455.42 = 339,977.44 : x
  2. Step 2: Convert to fraction form
    581,684.68/802,455.42 = 339,977.44/x
  3. Step 3: Cross multiply
    581,684.68x = 802,455.42 × 339,977.44
  4. Step 4: Simplify right side
    581,684.68x = 272,816,739,405.73
  5. Step 5: Solve for x
    x = 272,816,739,405.73/581,684.68
  6. Step 6: Final answer
    x = 469,011.39

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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.