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Finding the Fourth Proportional to 397,989.30, 596,595.15 and 355,998.90

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Solution

The fourth proportional to 397,989.30, 596,595.15 and 355,998.90 is: 533,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,989.30 : 596,595.15 = 355,998.90 : x
  2. Step 2: Convert to fraction form
    397,989.30/596,595.15 = 355,998.90/x
  3. Step 3: Cross multiply
    397,989.30x = 596,595.15 × 355,998.90
  4. Step 4: Simplify right side
    397,989.30x = 212,387,217,145.34
  5. Step 5: Solve for x
    x = 212,387,217,145.34/397,989.30
  6. Step 6: Final answer
    x = 533,650.57

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