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Finding the Fourth Proportional to 533,906.64, 800,870 and 249,519.16

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Solution

The fourth proportional to 533,906.64, 800,870 and 249,519.16 is: 374,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,906.64 : 800,870 = 249,519.16 : x
  2. Step 2: Convert to fraction form
    533,906.64/800,870 = 249,519.16/x
  3. Step 3: Cross multiply
    533,906.64x = 800,870 × 249,519.16
  4. Step 4: Simplify right side
    533,906.64x = 199,832,409,669.20
  5. Step 5: Solve for x
    x = 199,832,409,669.20/533,906.64
  6. Step 6: Final answer
    x = 374,283.43

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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.