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Finding the Fourth Proportional to 409,937.12, 564,549.73 and 352,156.58

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Solution

The fourth proportional to 409,937.12, 564,549.73 and 352,156.58 is: 484,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,937.12 : 564,549.73 = 352,156.58 : x
  2. Step 2: Convert to fraction form
    409,937.12/564,549.73 = 352,156.58/x
  3. Step 3: Cross multiply
    409,937.12x = 564,549.73 × 352,156.58
  4. Step 4: Simplify right side
    409,937.12x = 198,809,899,333.98
  5. Step 5: Solve for x
    x = 198,809,899,333.98/409,937.12
  6. Step 6: Final answer
    x = 484,976.58

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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.