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Finding the Fourth Proportional to 354,143.84, 531,372.55 and 185,624.10

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Solution

The fourth proportional to 354,143.84, 531,372.55 and 185,624.10 is: 278,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,143.84 : 531,372.55 = 185,624.10 : x
  2. Step 2: Convert to fraction form
    354,143.84/531,372.55 = 185,624.10/x
  3. Step 3: Cross multiply
    354,143.84x = 531,372.55 × 185,624.10
  4. Step 4: Simplify right side
    354,143.84x = 98,635,550,894.39
  5. Step 5: Solve for x
    x = 98,635,550,894.39/354,143.84
  6. Step 6: Final answer
    x = 278,518.33

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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.