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Finding the Fourth Proportional to 523,408.40, 785,170.20 and 191,056.40

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Solution

The fourth proportional to 523,408.40, 785,170.20 and 191,056.40 is: 286,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,408.40 : 785,170.20 = 191,056.40 : x
  2. Step 2: Convert to fraction form
    523,408.40/785,170.20 = 191,056.40/x
  3. Step 3: Cross multiply
    523,408.40x = 785,170.20 × 191,056.40
  4. Step 4: Simplify right side
    523,408.40x = 150,011,791,799.28
  5. Step 5: Solve for x
    x = 150,011,791,799.28/523,408.40
  6. Step 6: Final answer
    x = 286,605.63

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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.