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Finding the Fourth Proportional to 374,284.84, 561,446.70 and 187,233.16

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Solution

The fourth proportional to 374,284.84, 561,446.70 and 187,233.16 is: 280,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,284.84 : 561,446.70 = 187,233.16 : x
  2. Step 2: Convert to fraction form
    374,284.84/561,446.70 = 187,233.16/x
  3. Step 3: Cross multiply
    374,284.84x = 561,446.70 × 187,233.16
  4. Step 4: Simplify right side
    374,284.84x = 105,121,439,812.57
  5. Step 5: Solve for x
    x = 105,121,439,812.57/374,284.84
  6. Step 6: Final answer
    x = 280,859.46

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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.