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Finding the Fourth Proportional to 362,106.74, 499,703.63 and 200,963.12

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Solution

The fourth proportional to 362,106.74, 499,703.63 and 200,963.12 is: 277,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,106.74 : 499,703.63 = 200,963.12 : x
  2. Step 2: Convert to fraction form
    362,106.74/499,703.63 = 200,963.12/x
  3. Step 3: Cross multiply
    362,106.74x = 499,703.63 × 200,963.12
  4. Step 4: Simplify right side
    362,106.74x = 100,421,997,056.79
  5. Step 5: Solve for x
    x = 100,421,997,056.79/362,106.74
  6. Step 6: Final answer
    x = 277,327.06

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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.