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Finding the Fourth Proportional to 409,754.82, 564,174.89 and 348,380.31

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Solution

The fourth proportional to 409,754.82, 564,174.89 and 348,380.31 is: 479,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,754.82 : 564,174.89 = 348,380.31 : x
  2. Step 2: Convert to fraction form
    409,754.82/564,174.89 = 348,380.31/x
  3. Step 3: Cross multiply
    409,754.82x = 564,174.89 × 348,380.31
  4. Step 4: Simplify right side
    409,754.82x = 196,547,421,579.11
  5. Step 5: Solve for x
    x = 196,547,421,579.11/409,754.82
  6. Step 6: Final answer
    x = 479,670.80

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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.