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Finding the Fourth Proportional to 295,646.94, 443,481.84 and 103,484.16

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Solution

The fourth proportional to 295,646.94, 443,481.84 and 103,484.16 is: 155,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,646.94 : 443,481.84 = 103,484.16 : x
  2. Step 2: Convert to fraction form
    295,646.94/443,481.84 = 103,484.16/x
  3. Step 3: Cross multiply
    295,646.94x = 443,481.84 × 103,484.16
  4. Step 4: Simplify right side
    295,646.94x = 45,893,345,687.65
  5. Step 5: Solve for x
    x = 45,893,345,687.65/295,646.94
  6. Step 6: Final answer
    x = 155,230.24

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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.