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Finding the Fourth Proportional to 321,862.20, 482,790.42 and 97,222.20

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Solution

The fourth proportional to 321,862.20, 482,790.42 and 97,222.20 is: 145,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,862.20 : 482,790.42 = 97,222.20 : x
  2. Step 2: Convert to fraction form
    321,862.20/482,790.42 = 97,222.20/x
  3. Step 3: Cross multiply
    321,862.20x = 482,790.42 × 97,222.20
  4. Step 4: Simplify right side
    321,862.20x = 46,937,946,771.32
  5. Step 5: Solve for x
    x = 46,937,946,771.32/321,862.20
  6. Step 6: Final answer
    x = 145,832.43

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1.5x scale

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.