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Finding the Fourth Proportional to 411,838.80, 618,103.80 and 201,656.40

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Solution

The fourth proportional to 411,838.80, 618,103.80 and 201,656.40 is: 302,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,838.80 : 618,103.80 = 201,656.40 : x
  2. Step 2: Convert to fraction form
    411,838.80/618,103.80 = 201,656.40/x
  3. Step 3: Cross multiply
    411,838.80x = 618,103.80 × 201,656.40
  4. Step 4: Simplify right side
    411,838.80x = 124,644,587,134.32
  5. Step 5: Solve for x
    x = 124,644,587,134.32/411,838.80
  6. Step 6: Final answer
    x = 302,653.82

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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.