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Finding the Fourth Proportional to 401,464.80, 602,197.20 and 164,977.20

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Solution

The fourth proportional to 401,464.80, 602,197.20 and 164,977.20 is: 247,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,464.80 : 602,197.20 = 164,977.20 : x
  2. Step 2: Convert to fraction form
    401,464.80/602,197.20 = 164,977.20/x
  3. Step 3: Cross multiply
    401,464.80x = 602,197.20 × 164,977.20
  4. Step 4: Simplify right side
    401,464.80x = 99,348,807,903.84
  5. Step 5: Solve for x
    x = 99,348,807,903.84/401,464.80
  6. Step 6: Final answer
    x = 247,465.80

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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.