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Finding the Fourth Proportional to 297,098.37, 409,970.03 and 174,577.77

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Solution

The fourth proportional to 297,098.37, 409,970.03 and 174,577.77 is: 240,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,098.37 : 409,970.03 = 174,577.77 : x
  2. Step 2: Convert to fraction form
    297,098.37/409,970.03 = 174,577.77/x
  3. Step 3: Cross multiply
    297,098.37x = 409,970.03 × 174,577.77
  4. Step 4: Simplify right side
    297,098.37x = 71,571,652,731.34
  5. Step 5: Solve for x
    x = 71,571,652,731.34/297,098.37
  6. Step 6: Final answer
    x = 240,902.21

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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.