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Finding the Fourth Proportional to 561,309.82, 774,608.31 and 319,592.50

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Solution

The fourth proportional to 561,309.82, 774,608.31 and 319,592.50 is: 441,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,309.82 : 774,608.31 = 319,592.50 : x
  2. Step 2: Convert to fraction form
    561,309.82/774,608.31 = 319,592.50/x
  3. Step 3: Cross multiply
    561,309.82x = 774,608.31 × 319,592.50
  4. Step 4: Simplify right side
    561,309.82x = 247,559,006,313.68
  5. Step 5: Solve for x
    x = 247,559,006,313.68/561,309.82
  6. Step 6: Final answer
    x = 441,038.08

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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.