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Finding the Fourth Proportional to 414,772.42, 572,379.58 and 233,483.78

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Solution

The fourth proportional to 414,772.42, 572,379.58 and 233,483.78 is: 322,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,772.42 : 572,379.58 = 233,483.78 : x
  2. Step 2: Convert to fraction form
    414,772.42/572,379.58 = 233,483.78/x
  3. Step 3: Cross multiply
    414,772.42x = 572,379.58 × 233,483.78
  4. Step 4: Simplify right side
    414,772.42x = 133,641,347,933.21
  5. Step 5: Solve for x
    x = 133,641,347,933.21/414,772.42
  6. Step 6: Final answer
    x = 322,204.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.