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Finding the Fourth Proportional to 338,404.30, 507,606.45 and 310,410.70

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Solution

The fourth proportional to 338,404.30, 507,606.45 and 310,410.70 is: 465,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,404.30 : 507,606.45 = 310,410.70 : x
  2. Step 2: Convert to fraction form
    338,404.30/507,606.45 = 310,410.70/x
  3. Step 3: Cross multiply
    338,404.30x = 507,606.45 × 310,410.70
  4. Step 4: Simplify right side
    338,404.30x = 157,566,473,469.02
  5. Step 5: Solve for x
    x = 157,566,473,469.02/338,404.30
  6. Step 6: Final answer
    x = 465,616.05

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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.