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Finding the Fourth Proportional to 563,382.60, 845,129.10 and 164,027.40

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Solution

The fourth proportional to 563,382.60, 845,129.10 and 164,027.40 is: 246,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,382.60 : 845,129.10 = 164,027.40 : x
  2. Step 2: Convert to fraction form
    563,382.60/845,129.10 = 164,027.40/x
  3. Step 3: Cross multiply
    563,382.60x = 845,129.10 × 164,027.40
  4. Step 4: Simplify right side
    563,382.60x = 138,624,328,937.34
  5. Step 5: Solve for x
    x = 138,624,328,937.34/563,382.60
  6. Step 6: Final answer
    x = 246,057.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.