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Finding the Fourth Proportional to 533,144.22, 735,262.62 and 442,356.42

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Solution

The fourth proportional to 533,144.22, 735,262.62 and 442,356.42 is: 610,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,144.22 : 735,262.62 = 442,356.42 : x
  2. Step 2: Convert to fraction form
    533,144.22/735,262.62 = 442,356.42/x
  3. Step 3: Cross multiply
    533,144.22x = 735,262.62 × 442,356.42
  4. Step 4: Simplify right side
    533,144.22x = 325,248,140,343.02
  5. Step 5: Solve for x
    x = 325,248,140,343.02/533,144.22
  6. Step 6: Final answer
    x = 610,056.58

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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.