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Finding the Fourth Proportional to 374,658.84, 561,840.33 and 149,977.40

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Solution

The fourth proportional to 374,658.84, 561,840.33 and 149,977.40 is: 224,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,658.84 : 561,840.33 = 149,977.40 : x
  2. Step 2: Convert to fraction form
    374,658.84/561,840.33 = 149,977.40/x
  3. Step 3: Cross multiply
    374,658.84x = 561,840.33 × 149,977.40
  4. Step 4: Simplify right side
    374,658.84x = 84,263,349,661.76
  5. Step 5: Solve for x
    x = 84,263,349,661.76/374,658.84
  6. Step 6: Final answer
    x = 224,906.88

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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.