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Finding the Fourth Proportional to 385,577.36, 578,198.22 and 183,232.16

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Solution

The fourth proportional to 385,577.36, 578,198.22 and 183,232.16 is: 274,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,577.36 : 578,198.22 = 183,232.16 : x
  2. Step 2: Convert to fraction form
    385,577.36/578,198.22 = 183,232.16/x
  3. Step 3: Cross multiply
    385,577.36x = 578,198.22 × 183,232.16
  4. Step 4: Simplify right side
    385,577.36x = 105,944,508,758.76
  5. Step 5: Solve for x
    x = 105,944,508,758.76/385,577.36
  6. Step 6: Final answer
    x = 274,768.49

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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.