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Finding the Fourth Proportional to 535,447, 802,912.08 and 310,863.92

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Solution

The fourth proportional to 535,447, 802,912.08 and 310,863.92 is: 466,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,447 : 802,912.08 = 310,863.92 : x
  2. Step 2: Convert to fraction form
    535,447/802,912.08 = 310,863.92/x
  3. Step 3: Cross multiply
    535,447x = 802,912.08 × 310,863.92
  4. Step 4: Simplify right side
    535,447x = 249,596,396,604.15
  5. Step 5: Solve for x
    x = 249,596,396,604.15/535,447
  6. Step 6: Final answer
    x = 466,145.85

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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.