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Finding the Fourth Proportional to 406,498.70, 609,700.57 and 163,329.95

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Solution

The fourth proportional to 406,498.70, 609,700.57 and 163,329.95 is: 244,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,498.70 : 609,700.57 = 163,329.95 : x
  2. Step 2: Convert to fraction form
    406,498.70/609,700.57 = 163,329.95/x
  3. Step 3: Cross multiply
    406,498.70x = 609,700.57 × 163,329.95
  4. Step 4: Simplify right side
    406,498.70x = 99,582,364,729.00
  5. Step 5: Solve for x
    x = 99,582,364,729.00/406,498.70
  6. Step 6: Final answer
    x = 244,975.85

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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.