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Finding the Fourth Proportional to 781,289.64, 1,171,934.46 and 282,537

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Solution

The fourth proportional to 781,289.64, 1,171,934.46 and 282,537 is: 423,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,289.64 : 1,171,934.46 = 282,537 : x
  2. Step 2: Convert to fraction form
    781,289.64/1,171,934.46 = 282,537/x
  3. Step 3: Cross multiply
    781,289.64x = 1,171,934.46 × 282,537
  4. Step 4: Simplify right side
    781,289.64x = 331,114,846,525.02
  5. Step 5: Solve for x
    x = 331,114,846,525.02/781,289.64
  6. Step 6: Final answer
    x = 423,805.50

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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.