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Finding the Fourth Proportional to 504,726.96, 696,598.74 and 323,643.36

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Solution

The fourth proportional to 504,726.96, 696,598.74 and 323,643.36 is: 446,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,726.96 : 696,598.74 = 323,643.36 : x
  2. Step 2: Convert to fraction form
    504,726.96/696,598.74 = 323,643.36/x
  3. Step 3: Cross multiply
    504,726.96x = 696,598.74 × 323,643.36
  4. Step 4: Simplify right side
    504,726.96x = 225,449,556,785.37
  5. Step 5: Solve for x
    x = 225,449,556,785.37/504,726.96
  6. Step 6: Final answer
    x = 446,676.27

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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.