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Finding the Fourth Proportional to 409,105.02, 564,554.43 and 397,032.78

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Solution

The fourth proportional to 409,105.02, 564,554.43 and 397,032.78 is: 547,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,105.02 : 564,554.43 = 397,032.78 : x
  2. Step 2: Convert to fraction form
    409,105.02/564,554.43 = 397,032.78/x
  3. Step 3: Cross multiply
    409,105.02x = 564,554.43 × 397,032.78
  4. Step 4: Simplify right side
    409,105.02x = 224,146,614,804.22
  5. Step 5: Solve for x
    x = 224,146,614,804.22/409,105.02
  6. Step 6: Final answer
    x = 547,895.05

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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.