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Finding the Fourth Proportional to 538,232.70, 807,458.40 and 183,282.60

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Solution

The fourth proportional to 538,232.70, 807,458.40 and 183,282.60 is: 274,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,232.70 : 807,458.40 = 183,282.60 : x
  2. Step 2: Convert to fraction form
    538,232.70/807,458.40 = 183,282.60/x
  3. Step 3: Cross multiply
    538,232.70x = 807,458.40 × 183,282.60
  4. Step 4: Simplify right side
    538,232.70x = 147,993,074,943.84
  5. Step 5: Solve for x
    x = 147,993,074,943.84/538,232.70
  6. Step 6: Final answer
    x = 274,961.14

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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.