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Finding the Fourth Proportional to 432,293.56, 648,364.74 and 195,580.60

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Solution

The fourth proportional to 432,293.56, 648,364.74 and 195,580.60 is: 293,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,293.56 : 648,364.74 = 195,580.60 : x
  2. Step 2: Convert to fraction form
    432,293.56/648,364.74 = 195,580.60/x
  3. Step 3: Cross multiply
    432,293.56x = 648,364.74 × 195,580.60
  4. Step 4: Simplify right side
    432,293.56x = 126,807,564,868.04
  5. Step 5: Solve for x
    x = 126,807,564,868.04/432,293.56
  6. Step 6: Final answer
    x = 293,336.70

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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.