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Finding the Fourth Proportional to 312,284.80, 468,690.24 and 134,926.24

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Solution

The fourth proportional to 312,284.80, 468,690.24 and 134,926.24 is: 202,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,284.80 : 468,690.24 = 134,926.24 : x
  2. Step 2: Convert to fraction form
    312,284.80/468,690.24 = 134,926.24/x
  3. Step 3: Cross multiply
    312,284.80x = 468,690.24 × 134,926.24
  4. Step 4: Simplify right side
    312,284.80x = 63,238,611,807.90
  5. Step 5: Solve for x
    x = 63,238,611,807.90/312,284.80
  6. Step 6: Final answer
    x = 202,503.01

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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.