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Finding the Fourth Proportional to 400,535.42, 600,801.60 and 163,878.02

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Solution

The fourth proportional to 400,535.42, 600,801.60 and 163,878.02 is: 245,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,535.42 : 600,801.60 = 163,878.02 : x
  2. Step 2: Convert to fraction form
    400,535.42/600,801.60 = 163,878.02/x
  3. Step 3: Cross multiply
    400,535.42x = 600,801.60 × 163,878.02
  4. Step 4: Simplify right side
    400,535.42x = 98,458,176,484.37
  5. Step 5: Solve for x
    x = 98,458,176,484.37/400,535.42
  6. Step 6: Final answer
    x = 245,816.41

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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.