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Finding the Fourth Proportional to 462,224.93, 693,337.42 and 302,435.12

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Solution

The fourth proportional to 462,224.93, 693,337.42 and 302,435.12 is: 453,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,224.93 : 693,337.42 = 302,435.12 : x
  2. Step 2: Convert to fraction form
    462,224.93/693,337.42 = 302,435.12/x
  3. Step 3: Cross multiply
    462,224.93x = 693,337.42 × 302,435.12
  4. Step 4: Simplify right side
    462,224.93x = 209,689,584,029.56
  5. Step 5: Solve for x
    x = 209,689,584,029.56/462,224.93
  6. Step 6: Final answer
    x = 453,652.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.