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Finding the Fourth Proportional to 1,654,275.56, 2,481,834.32 and 971,739.59

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Solution

The fourth proportional to 1,654,275.56, 2,481,834.32 and 971,739.59 is: 1,457,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,275.56 : 2,481,834.32 = 971,739.59 : x
  2. Step 2: Convert to fraction form
    1,654,275.56/2,481,834.32 = 971,739.59/x
  3. Step 3: Cross multiply
    1,654,275.56x = 2,481,834.32 × 971,739.59
  4. Step 4: Simplify right side
    1,654,275.56x = 2,411,696,659,706.03
  5. Step 5: Solve for x
    x = 2,411,696,659,706.03/1,654,275.56
  6. Step 6: Final answer
    x = 1,457,856.67

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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.