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Finding the Fourth Proportional to 533,098.82, 735,200.19 and 442,311.05

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Solution

The fourth proportional to 533,098.82, 735,200.19 and 442,311.05 is: 609,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,098.82 : 735,200.19 = 442,311.05 : x
  2. Step 2: Convert to fraction form
    533,098.82/735,200.19 = 442,311.05/x
  3. Step 3: Cross multiply
    533,098.82x = 735,200.19 × 442,311.05
  4. Step 4: Simplify right side
    533,098.82x = 325,187,164,323.10
  5. Step 5: Solve for x
    x = 325,187,164,323.10/533,098.82
  6. Step 6: Final answer
    x = 609,994.16

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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.