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Finding the Fourth Proportional to 457,643.15, 631,553.26 and 264,091.03

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Solution

The fourth proportional to 457,643.15, 631,553.26 and 264,091.03 is: 364,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,643.15 : 631,553.26 = 264,091.03 : x
  2. Step 2: Convert to fraction form
    457,643.15/631,553.26 = 264,091.03/x
  3. Step 3: Cross multiply
    457,643.15x = 631,553.26 × 264,091.03
  4. Step 4: Simplify right side
    457,643.15x = 166,787,549,612.80
  5. Step 5: Solve for x
    x = 166,787,549,612.80/457,643.15
  6. Step 6: Final answer
    x = 364,448.92

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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.