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Finding the Fourth Proportional to 483,212.10, 724,818.15 and 413,228.10

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Solution

The fourth proportional to 483,212.10, 724,818.15 and 413,228.10 is: 619,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,212.10 : 724,818.15 = 413,228.10 : x
  2. Step 2: Convert to fraction form
    483,212.10/724,818.15 = 413,228.10/x
  3. Step 3: Cross multiply
    483,212.10x = 724,818.15 × 413,228.10
  4. Step 4: Simplify right side
    483,212.10x = 299,515,226,970.02
  5. Step 5: Solve for x
    x = 299,515,226,970.02/483,212.10
  6. Step 6: Final answer
    x = 619,842.15

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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.