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Finding the Fourth Proportional to 511,834.25, 706,557.74 and 330,634.52

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Solution

The fourth proportional to 511,834.25, 706,557.74 and 330,634.52 is: 456,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,834.25 : 706,557.74 = 330,634.52 : x
  2. Step 2: Convert to fraction form
    511,834.25/706,557.74 = 330,634.52/x
  3. Step 3: Cross multiply
    511,834.25x = 706,557.74 × 330,634.52
  4. Step 4: Simplify right side
    511,834.25x = 233,612,374,031.22
  5. Step 5: Solve for x
    x = 233,612,374,031.22/511,834.25
  6. Step 6: Final answer
    x = 456,421.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.