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Finding the Fourth Proportional to 553,896.56, 830,845.10 and 174,855.70

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Solution

The fourth proportional to 553,896.56, 830,845.10 and 174,855.70 is: 262,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,896.56 : 830,845.10 = 174,855.70 : x
  2. Step 2: Convert to fraction form
    553,896.56/830,845.10 = 174,855.70/x
  3. Step 3: Cross multiply
    553,896.56x = 830,845.10 × 174,855.70
  4. Step 4: Simplify right side
    553,896.56x = 145,277,997,370.70
  5. Step 5: Solve for x
    x = 145,277,997,370.70/553,896.56
  6. Step 6: Final answer
    x = 262,283.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.