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Finding the Fourth Proportional to 409,096.98, 564,263.01 and 273,062.34

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Solution

The fourth proportional to 409,096.98, 564,263.01 and 273,062.34 is: 376,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,096.98 : 564,263.01 = 273,062.34 : x
  2. Step 2: Convert to fraction form
    409,096.98/564,263.01 = 273,062.34/x
  3. Step 3: Cross multiply
    409,096.98x = 564,263.01 × 273,062.34
  4. Step 4: Simplify right side
    409,096.98x = 154,078,977,886.04
  5. Step 5: Solve for x
    x = 154,078,977,886.04/409,096.98
  6. Step 6: Final answer
    x = 376,631.91

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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.