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Finding the Fourth Proportional to 354,072.50, 531,265.71 and 185,552.76

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Solution

The fourth proportional to 354,072.50, 531,265.71 and 185,552.76 is: 278,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,072.50 : 531,265.71 = 185,552.76 : x
  2. Step 2: Convert to fraction form
    354,072.50/531,265.71 = 185,552.76/x
  3. Step 3: Cross multiply
    354,072.50x = 531,265.71 × 185,552.76
  4. Step 4: Simplify right side
    354,072.50x = 98,577,818,319.98
  5. Step 5: Solve for x
    x = 98,577,818,319.98/354,072.50
  6. Step 6: Final answer
    x = 278,411.40

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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.