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Finding the Fourth Proportional to 585,509.34, 807,965.48 and 327,407.57

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Solution

The fourth proportional to 585,509.34, 807,965.48 and 327,407.57 is: 451,801.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,509.34 : 807,965.48 = 327,407.57 : x
  2. Step 2: Convert to fraction form
    585,509.34/807,965.48 = 327,407.57/x
  3. Step 3: Cross multiply
    585,509.34x = 807,965.48 × 327,407.57
  4. Step 4: Simplify right side
    585,509.34x = 264,534,008,773.82
  5. Step 5: Solve for x
    x = 264,534,008,773.82/585,509.34
  6. Step 6: Final answer
    x = 451,801.52

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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.