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Finding the Fourth Proportional to 645,770.86, 968,803.72 and 196,555.40

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Solution

The fourth proportional to 645,770.86, 968,803.72 and 196,555.40 is: 294,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,770.86 : 968,803.72 = 196,555.40 : x
  2. Step 2: Convert to fraction form
    645,770.86/968,803.72 = 196,555.40/x
  3. Step 3: Cross multiply
    645,770.86x = 968,803.72 × 196,555.40
  4. Step 4: Simplify right side
    645,770.86x = 190,423,602,706.09
  5. Step 5: Solve for x
    x = 190,423,602,706.09/645,770.86
  6. Step 6: Final answer
    x = 294,877.97

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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.