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Finding the Fourth Proportional to 411,698.84, 617,429.75 and 141,816.08

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Solution

The fourth proportional to 411,698.84, 617,429.75 and 141,816.08 is: 212,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,698.84 : 617,429.75 = 141,816.08 : x
  2. Step 2: Convert to fraction form
    411,698.84/617,429.75 = 141,816.08/x
  3. Step 3: Cross multiply
    411,698.84x = 617,429.75 × 141,816.08
  4. Step 4: Simplify right side
    411,698.84x = 87,561,467,654.87
  5. Step 5: Solve for x
    x = 87,561,467,654.87/411,698.84
  6. Step 6: Final answer
    x = 212,683.30

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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.