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Finding the Fourth Proportional to 423,104.88, 634,530.96 and 223,315.14

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Solution

The fourth proportional to 423,104.88, 634,530.96 and 223,315.14 is: 334,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,104.88 : 634,530.96 = 223,315.14 : x
  2. Step 2: Convert to fraction form
    423,104.88/634,530.96 = 223,315.14/x
  3. Step 3: Cross multiply
    423,104.88x = 634,530.96 × 223,315.14
  4. Step 4: Simplify right side
    423,104.88x = 141,700,370,166.73
  5. Step 5: Solve for x
    x = 141,700,370,166.73/423,104.88
  6. Step 6: Final answer
    x = 334,906.02

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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.