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Finding the Fourth Proportional to 664,652.17, 997,303.57 and 411,865.04

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Solution

The fourth proportional to 664,652.17, 997,303.57 and 411,865.04 is: 617,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,652.17 : 997,303.57 = 411,865.04 : x
  2. Step 2: Convert to fraction form
    664,652.17/997,303.57 = 411,865.04/x
  3. Step 3: Cross multiply
    664,652.17x = 997,303.57 × 411,865.04
  4. Step 4: Simplify right side
    664,652.17x = 410,754,474,750.19
  5. Step 5: Solve for x
    x = 410,754,474,750.19/664,652.17
  6. Step 6: Final answer
    x = 617,999.15

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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.