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Finding the Fourth Proportional to 536,311.96, 803,742.18 and 203,706.52

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Solution

The fourth proportional to 536,311.96, 803,742.18 and 203,706.52 is: 305,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,311.96 : 803,742.18 = 203,706.52 : x
  2. Step 2: Convert to fraction form
    536,311.96/803,742.18 = 203,706.52/x
  3. Step 3: Cross multiply
    536,311.96x = 803,742.18 × 203,706.52
  4. Step 4: Simplify right side
    536,311.96x = 163,727,522,465.01
  5. Step 5: Solve for x
    x = 163,727,522,465.01/536,311.96
  6. Step 6: Final answer
    x = 305,284.12

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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.