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Finding the Fourth Proportional to 401,872.80, 603,500.40 and 284,368.80

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Solution

The fourth proportional to 401,872.80, 603,500.40 and 284,368.80 is: 427,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,872.80 : 603,500.40 = 284,368.80 : x
  2. Step 2: Convert to fraction form
    401,872.80/603,500.40 = 284,368.80/x
  3. Step 3: Cross multiply
    401,872.80x = 603,500.40 × 284,368.80
  4. Step 4: Simplify right side
    401,872.80x = 171,616,684,547.52
  5. Step 5: Solve for x
    x = 171,616,684,547.52/401,872.80
  6. Step 6: Final answer
    x = 427,042.30

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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.