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Finding the Fourth Proportional to 334,509.44, 461,839.20 and 207,320

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Solution

The fourth proportional to 334,509.44, 461,839.20 and 207,320 is: 286,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,509.44 : 461,839.20 = 207,320 : x
  2. Step 2: Convert to fraction form
    334,509.44/461,839.20 = 207,320/x
  3. Step 3: Cross multiply
    334,509.44x = 461,839.20 × 207,320
  4. Step 4: Simplify right side
    334,509.44x = 95,748,502,944
  5. Step 5: Solve for x
    x = 95,748,502,944/334,509.44
  6. Step 6: Final answer
    x = 286,235.58

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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.