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Finding the Fourth Proportional to 361,296.64, 542,281.12 and 183,936.32

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Solution

The fourth proportional to 361,296.64, 542,281.12 and 183,936.32 is: 276,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,296.64 : 542,281.12 = 183,936.32 : x
  2. Step 2: Convert to fraction form
    361,296.64/542,281.12 = 183,936.32/x
  3. Step 3: Cross multiply
    361,296.64x = 542,281.12 × 183,936.32
  4. Step 4: Simplify right side
    361,296.64x = 99,745,193,618.28
  5. Step 5: Solve for x
    x = 99,745,193,618.28/361,296.64
  6. Step 6: Final answer
    x = 276,075.62

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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.