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Finding the Fourth Proportional to 645,415, 968,173.62 and 196,174.84

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Solution

The fourth proportional to 645,415, 968,173.62 and 196,174.84 is: 294,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,415 : 968,173.62 = 196,174.84 : x
  2. Step 2: Convert to fraction form
    645,415/968,173.62 = 196,174.84/x
  3. Step 3: Cross multiply
    645,415x = 968,173.62 × 196,174.84
  4. Step 4: Simplify right side
    645,415x = 189,931,304,995.72
  5. Step 5: Solve for x
    x = 189,931,304,995.72/645,415
  6. Step 6: Final answer
    x = 294,277.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.