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Finding the Fourth Proportional to 361,347.53, 498,653.12 and 200,199.34

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Solution

The fourth proportional to 361,347.53, 498,653.12 and 200,199.34 is: 276,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,347.53 : 498,653.12 = 200,199.34 : x
  2. Step 2: Convert to fraction form
    361,347.53/498,653.12 = 200,199.34/x
  3. Step 3: Cross multiply
    361,347.53x = 498,653.12 × 200,199.34
  4. Step 4: Simplify right side
    361,347.53x = 99,830,025,512.94
  5. Step 5: Solve for x
    x = 99,830,025,512.94/361,347.53
  6. Step 6: Final answer
    x = 276,271.50

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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.