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Finding the Fourth Proportional to 564,200.94, 778,598.04 and 309,553.14

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Solution

The fourth proportional to 564,200.94, 778,598.04 and 309,553.14 is: 427,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,200.94 : 778,598.04 = 309,553.14 : x
  2. Step 2: Convert to fraction form
    564,200.94/778,598.04 = 309,553.14/x
  3. Step 3: Cross multiply
    564,200.94x = 778,598.04 × 309,553.14
  4. Step 4: Simplify right side
    564,200.94x = 241,017,468,079.85
  5. Step 5: Solve for x
    x = 241,017,468,079.85/564,200.94
  6. Step 6: Final answer
    x = 427,183.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.