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Finding the Fourth Proportional to 515,004.14, 710,692.98 and 285,562.38

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Solution

The fourth proportional to 515,004.14, 710,692.98 and 285,562.38 is: 394,069.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,004.14 : 710,692.98 = 285,562.38 : x
  2. Step 2: Convert to fraction form
    515,004.14/710,692.98 = 285,562.38/x
  3. Step 3: Cross multiply
    515,004.14x = 710,692.98 × 285,562.38
  4. Step 4: Simplify right side
    515,004.14x = 202,947,178,818.09
  5. Step 5: Solve for x
    x = 202,947,178,818.09/515,004.14
  6. Step 6: Final answer
    x = 394,069.02

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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.