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Finding the Fourth Proportional to 334,752.96, 461,766.24 and 200,539.20

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Solution

The fourth proportional to 334,752.96, 461,766.24 and 200,539.20 is: 276,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,752.96 : 461,766.24 = 200,539.20 : x
  2. Step 2: Convert to fraction form
    334,752.96/461,766.24 = 200,539.20/x
  3. Step 3: Cross multiply
    334,752.96x = 461,766.24 × 200,539.20
  4. Step 4: Simplify right side
    334,752.96x = 92,602,232,356.61
  5. Step 5: Solve for x
    x = 92,602,232,356.61/334,752.96
  6. Step 6: Final answer
    x = 276,628.57

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1.5x scale

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.