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Finding the Fourth Proportional to 389,959.30, 583,954.80 and 256,114.90

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Solution

The fourth proportional to 389,959.30, 583,954.80 and 256,114.90 is: 383,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,959.30 : 583,954.80 = 256,114.90 : x
  2. Step 2: Convert to fraction form
    389,959.30/583,954.80 = 256,114.90/x
  3. Step 3: Cross multiply
    389,959.30x = 583,954.80 × 256,114.90
  4. Step 4: Simplify right side
    389,959.30x = 149,559,525,206.52
  5. Step 5: Solve for x
    x = 149,559,525,206.52/389,959.30
  6. Step 6: Final answer
    x = 383,525.99

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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.