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Finding the Fourth Proportional to 457,524.86, 631,384.34 and 253,588.86

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Solution

The fourth proportional to 457,524.86, 631,384.34 and 253,588.86 is: 349,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,524.86 : 631,384.34 = 253,588.86 : x
  2. Step 2: Convert to fraction form
    457,524.86/631,384.34 = 253,588.86/x
  3. Step 3: Cross multiply
    457,524.86x = 631,384.34 × 253,588.86
  4. Step 4: Simplify right side
    457,524.86x = 160,112,033,734.51
  5. Step 5: Solve for x
    x = 160,112,033,734.51/457,524.86
  6. Step 6: Final answer
    x = 349,952.65

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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.