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Finding the Fourth Proportional to 465,573.51, 698,074.45 and 180,931.70

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Solution

The fourth proportional to 465,573.51, 698,074.45 and 180,931.70 is: 271,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,573.51 : 698,074.45 = 180,931.70 : x
  2. Step 2: Convert to fraction form
    465,573.51/698,074.45 = 180,931.70/x
  3. Step 3: Cross multiply
    465,573.51x = 698,074.45 × 180,931.70
  4. Step 4: Simplify right side
    465,573.51x = 126,303,796,965.07
  5. Step 5: Solve for x
    x = 126,303,796,965.07/465,573.51
  6. Step 6: Final answer
    x = 271,286.48

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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.