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Finding the Fourth Proportional to 523,932.60, 785,438.10 and 313,654.20

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Solution

The fourth proportional to 523,932.60, 785,438.10 and 313,654.20 is: 470,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,932.60 : 785,438.10 = 313,654.20 : x
  2. Step 2: Convert to fraction form
    523,932.60/785,438.10 = 313,654.20/x
  3. Step 3: Cross multiply
    523,932.60x = 785,438.10 × 313,654.20
  4. Step 4: Simplify right side
    523,932.60x = 246,355,958,905.02
  5. Step 5: Solve for x
    x = 246,355,958,905.02/523,932.60
  6. Step 6: Final answer
    x = 470,205.44

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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.