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Finding the Fourth Proportional to 462,409.24, 693,613.86 and 129,985.24

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Solution

The fourth proportional to 462,409.24, 693,613.86 and 129,985.24 is: 194,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,409.24 : 693,613.86 = 129,985.24 : x
  2. Step 2: Convert to fraction form
    462,409.24/693,613.86 = 129,985.24/x
  3. Step 3: Cross multiply
    462,409.24x = 693,613.86 × 129,985.24
  4. Step 4: Simplify right side
    462,409.24x = 90,159,564,059.43
  5. Step 5: Solve for x
    x = 90,159,564,059.43/462,409.24
  6. Step 6: Final answer
    x = 194,977.86

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Similar ratio
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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.