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Finding the Fourth Proportional to 409,579.64, 614,368.92 and 110,060.22

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Solution

The fourth proportional to 409,579.64, 614,368.92 and 110,060.22 is: 165,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,579.64 : 614,368.92 = 110,060.22 : x
  2. Step 2: Convert to fraction form
    409,579.64/614,368.92 = 110,060.22/x
  3. Step 3: Cross multiply
    409,579.64x = 614,368.92 × 110,060.22
  4. Step 4: Simplify right side
    409,579.64x = 67,617,578,496.36
  5. Step 5: Solve for x
    x = 67,617,578,496.36/409,579.64
  6. Step 6: Final answer
    x = 165,090.19

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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.