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Finding the Fourth Proportional to 508,454.64, 761,738.31 and 364,062.49

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Solution

The fourth proportional to 508,454.64, 761,738.31 and 364,062.49 is: 545,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,454.64 : 761,738.31 = 364,062.49 : x
  2. Step 2: Convert to fraction form
    508,454.64/761,738.31 = 364,062.49/x
  3. Step 3: Cross multiply
    508,454.64x = 761,738.31 × 364,062.49
  4. Step 4: Simplify right side
    508,454.64x = 277,320,343,962.65
  5. Step 5: Solve for x
    x = 277,320,343,962.65/508,454.64
  6. Step 6: Final answer
    x = 545,418.06

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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.