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Finding the Fourth Proportional to 562,542.62, 776,308.82 and 307,893.80

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Solution

The fourth proportional to 562,542.62, 776,308.82 and 307,893.80 is: 424,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,542.62 : 776,308.82 = 307,893.80 : x
  2. Step 2: Convert to fraction form
    562,542.62/776,308.82 = 307,893.80/x
  3. Step 3: Cross multiply
    562,542.62x = 776,308.82 × 307,893.80
  4. Step 4: Simplify right side
    562,542.62x = 239,020,672,964.62
  5. Step 5: Solve for x
    x = 239,020,672,964.62/562,542.62
  6. Step 6: Final answer
    x = 424,893.45

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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.