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Finding the Fourth Proportional to 354,636.40, 532,300.20 and 177,343.60

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Solution

The fourth proportional to 354,636.40, 532,300.20 and 177,343.60 is: 266,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,636.40 : 532,300.20 = 177,343.60 : x
  2. Step 2: Convert to fraction form
    354,636.40/532,300.20 = 177,343.60/x
  3. Step 3: Cross multiply
    354,636.40x = 532,300.20 × 177,343.60
  4. Step 4: Simplify right side
    354,636.40x = 94,400,033,748.72
  5. Step 5: Solve for x
    x = 94,400,033,748.72/354,636.40
  6. Step 6: Final answer
    x = 266,188.22

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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.