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Finding the Fourth Proportional to 420,655.92, 630,345.42 and 308,410.86

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Solution

The fourth proportional to 420,655.92, 630,345.42 and 308,410.86 is: 462,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,655.92 : 630,345.42 = 308,410.86 : x
  2. Step 2: Convert to fraction form
    420,655.92/630,345.42 = 308,410.86/x
  3. Step 3: Cross multiply
    420,655.92x = 630,345.42 × 308,410.86
  4. Step 4: Simplify right side
    420,655.92x = 194,405,373,079.26
  5. Step 5: Solve for x
    x = 194,405,373,079.26/420,655.92
  6. Step 6: Final answer
    x = 462,148.19

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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.