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Finding the Fourth Proportional to 664,806.20, 997,533.30 and 309,637.40

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Solution

The fourth proportional to 664,806.20, 997,533.30 and 309,637.40 is: 464,607.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,806.20 : 997,533.30 = 309,637.40 : x
  2. Step 2: Convert to fraction form
    664,806.20/997,533.30 = 309,637.40/x
  3. Step 3: Cross multiply
    664,806.20x = 997,533.30 × 309,637.40
  4. Step 4: Simplify right side
    664,806.20x = 308,873,617,425.42
  5. Step 5: Solve for x
    x = 308,873,617,425.42/664,806.20
  6. Step 6: Final answer
    x = 464,607.00

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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.