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Finding the Fourth Proportional to 409,114.02, 564,566.85 and 397,041.78

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Solution

The fourth proportional to 409,114.02, 564,566.85 and 397,041.78 is: 547,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,114.02 : 564,566.85 = 397,041.78 : x
  2. Step 2: Convert to fraction form
    409,114.02/564,566.85 = 397,041.78/x
  3. Step 3: Cross multiply
    409,114.02x = 564,566.85 × 397,041.78
  4. Step 4: Simplify right side
    409,114.02x = 224,156,627,052.99
  5. Step 5: Solve for x
    x = 224,156,627,052.99/409,114.02
  6. Step 6: Final answer
    x = 547,907.47

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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.