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Finding the Fourth Proportional to 466,982.74, 700,757.61 and 186,476.50

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Solution

The fourth proportional to 466,982.74, 700,757.61 and 186,476.50 is: 279,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,982.74 : 700,757.61 = 186,476.50 : x
  2. Step 2: Convert to fraction form
    466,982.74/700,757.61 = 186,476.50/x
  3. Step 3: Cross multiply
    466,982.74x = 700,757.61 × 186,476.50
  4. Step 4: Simplify right side
    466,982.74x = 130,674,826,461.17
  5. Step 5: Solve for x
    x = 130,674,826,461.17/466,982.74
  6. Step 6: Final answer
    x = 279,827.96

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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.