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Finding the Fourth Proportional to 289,658.84, 399,654.15 and 174,846.74

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Solution

The fourth proportional to 289,658.84, 399,654.15 and 174,846.74 is: 241,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,658.84 : 399,654.15 = 174,846.74 : x
  2. Step 2: Convert to fraction form
    289,658.84/399,654.15 = 174,846.74/x
  3. Step 3: Cross multiply
    289,658.84x = 399,654.15 × 174,846.74
  4. Step 4: Simplify right side
    289,658.84x = 69,878,225,254.97
  5. Step 5: Solve for x
    x = 69,878,225,254.97/289,658.84
  6. Step 6: Final answer
    x = 241,243.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.