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Finding the Fourth Proportional to 434,552.40, 652,120.20 and 197,773.20

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Solution

The fourth proportional to 434,552.40, 652,120.20 and 197,773.20 is: 296,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,552.40 : 652,120.20 = 197,773.20 : x
  2. Step 2: Convert to fraction form
    434,552.40/652,120.20 = 197,773.20/x
  3. Step 3: Cross multiply
    434,552.40x = 652,120.20 × 197,773.20
  4. Step 4: Simplify right side
    434,552.40x = 128,971,898,738.64
  5. Step 5: Solve for x
    x = 128,971,898,738.64/434,552.40
  6. Step 6: Final answer
    x = 296,792.51

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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.