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Finding the Fourth Proportional to 645,533.32, 968,264.92 and 196,219.16

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Solution

The fourth proportional to 645,533.32, 968,264.92 and 196,219.16 is: 294,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,533.32 : 968,264.92 = 196,219.16 : x
  2. Step 2: Convert to fraction form
    645,533.32/968,264.92 = 196,219.16/x
  3. Step 3: Cross multiply
    645,533.32x = 968,264.92 × 196,219.16
  4. Step 4: Simplify right side
    645,533.32x = 189,992,129,259.87
  5. Step 5: Solve for x
    x = 189,992,129,259.87/645,533.32
  6. Step 6: Final answer
    x = 294,318.08

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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.