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Finding the Fourth Proportional to 645,590.50, 968,541.27 and 202,358.50

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Solution

The fourth proportional to 645,590.50, 968,541.27 and 202,358.50 is: 303,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,590.50 : 968,541.27 = 202,358.50 : x
  2. Step 2: Convert to fraction form
    645,590.50/968,541.27 = 202,358.50/x
  3. Step 3: Cross multiply
    645,590.50x = 968,541.27 × 202,358.50
  4. Step 4: Simplify right side
    645,590.50x = 195,992,558,585.30
  5. Step 5: Solve for x
    x = 195,992,558,585.30/645,590.50
  6. Step 6: Final answer
    x = 303,586.50

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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.