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Finding the Fourth Proportional to 457,644.64, 631,619.51 and 292,144.10

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Solution

The fourth proportional to 457,644.64, 631,619.51 and 292,144.10 is: 403,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,644.64 : 631,619.51 = 292,144.10 : x
  2. Step 2: Convert to fraction form
    457,644.64/631,619.51 = 292,144.10/x
  3. Step 3: Cross multiply
    457,644.64x = 631,619.51 × 292,144.10
  4. Step 4: Simplify right side
    457,644.64x = 184,523,912,225.43
  5. Step 5: Solve for x
    x = 184,523,912,225.43/457,644.64
  6. Step 6: Final answer
    x = 403,203.48

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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.