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Finding the Fourth Proportional to 429,897.75, 644,860.98 and 193,241.12

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Solution

The fourth proportional to 429,897.75, 644,860.98 and 193,241.12 is: 289,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,897.75 : 644,860.98 = 193,241.12 : x
  2. Step 2: Convert to fraction form
    429,897.75/644,860.98 = 193,241.12/x
  3. Step 3: Cross multiply
    429,897.75x = 644,860.98 × 193,241.12
  4. Step 4: Simplify right side
    429,897.75x = 124,613,654,795.19
  5. Step 5: Solve for x
    x = 124,613,654,795.19/429,897.75
  6. Step 6: Final answer
    x = 289,868.13

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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.