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Finding the Fourth Proportional to 361,411.61, 498,767.90 and 200,263.12

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Solution

The fourth proportional to 361,411.61, 498,767.90 and 200,263.12 is: 276,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,411.61 : 498,767.90 = 200,263.12 : x
  2. Step 2: Convert to fraction form
    361,411.61/498,767.90 = 200,263.12/x
  3. Step 3: Cross multiply
    361,411.61x = 498,767.90 × 200,263.12
  4. Step 4: Simplify right side
    361,411.61x = 99,884,813,561.61
  5. Step 5: Solve for x
    x = 99,884,813,561.61/361,411.61
  6. Step 6: Final answer
    x = 276,374.12

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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.