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Finding the Fourth Proportional to 519,487.80, 778,842.90 and 283,097.40

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Solution

The fourth proportional to 519,487.80, 778,842.90 and 283,097.40 is: 424,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,487.80 : 778,842.90 = 283,097.40 : x
  2. Step 2: Convert to fraction form
    519,487.80/778,842.90 = 283,097.40/x
  3. Step 3: Cross multiply
    519,487.80x = 778,842.90 × 283,097.40
  4. Step 4: Simplify right side
    519,487.80x = 220,488,399,998.46
  5. Step 5: Solve for x
    x = 220,488,399,998.46/519,487.80
  6. Step 6: Final answer
    x = 424,434.22

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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.