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Finding the Fourth Proportional to 462,203.44, 692,862.24 and 195,597.12

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Solution

The fourth proportional to 462,203.44, 692,862.24 and 195,597.12 is: 293,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,203.44 : 692,862.24 = 195,597.12 : x
  2. Step 2: Convert to fraction form
    462,203.44/692,862.24 = 195,597.12/x
  3. Step 3: Cross multiply
    462,203.44x = 692,862.24 × 195,597.12
  4. Step 4: Simplify right side
    462,203.44x = 135,521,858,700.75
  5. Step 5: Solve for x
    x = 135,521,858,700.75/462,203.44
  6. Step 6: Final answer
    x = 293,208.24

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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.