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Finding the Fourth Proportional to 433,818.21, 650,708.14 and 118,275.15

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Solution

The fourth proportional to 433,818.21, 650,708.14 and 118,275.15 is: 177,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,818.21 : 650,708.14 = 118,275.15 : x
  2. Step 2: Convert to fraction form
    433,818.21/650,708.14 = 118,275.15/x
  3. Step 3: Cross multiply
    433,818.21x = 650,708.14 × 118,275.15
  4. Step 4: Simplify right side
    433,818.21x = 76,962,599,019.80
  5. Step 5: Solve for x
    x = 76,962,599,019.80/433,818.21
  6. Step 6: Final answer
    x = 177,407.49

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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.