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Finding the Fourth Proportional to 564,220.80, 778,625.64 and 309,573.81

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Solution

The fourth proportional to 564,220.80, 778,625.64 and 309,573.81 is: 427,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,220.80 : 778,625.64 = 309,573.81 : x
  2. Step 2: Convert to fraction form
    564,220.80/778,625.64 = 309,573.81/x
  3. Step 3: Cross multiply
    564,220.80x = 778,625.64 × 309,573.81
  4. Step 4: Simplify right side
    564,220.80x = 241,042,105,938.49
  5. Step 5: Solve for x
    x = 241,042,105,938.49/564,220.80
  6. Step 6: Final answer
    x = 427,212.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.