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Finding the Fourth Proportional to 434,441.90, 651,750.64 and 150,142.84

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Solution

The fourth proportional to 434,441.90, 651,750.64 and 150,142.84 is: 225,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,441.90 : 651,750.64 = 150,142.84 : x
  2. Step 2: Convert to fraction form
    434,441.90/651,750.64 = 150,142.84/x
  3. Step 3: Cross multiply
    434,441.90x = 651,750.64 × 150,142.84
  4. Step 4: Simplify right side
    434,441.90x = 97,855,690,056.68
  5. Step 5: Solve for x
    x = 97,855,690,056.68/434,441.90
  6. Step 6: Final answer
    x = 225,244.59

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1.5x scale

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.