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Finding the Fourth Proportional to 645,778.19, 968,703.72 and 196,513.70

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Solution

The fourth proportional to 645,778.19, 968,703.72 and 196,513.70 is: 294,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,778.19 : 968,703.72 = 196,513.70 : x
  2. Step 2: Convert to fraction form
    645,778.19/968,703.72 = 196,513.70/x
  3. Step 3: Cross multiply
    645,778.19x = 968,703.72 × 196,513.70
  4. Step 4: Simplify right side
    645,778.19x = 190,363,552,220.96
  5. Step 5: Solve for x
    x = 190,363,552,220.96/645,778.19
  6. Step 6: Final answer
    x = 294,781.64

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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.