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Finding the Fourth Proportional to 411,991.10, 578,031.70 and 411,991.10

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Solution

The fourth proportional to 411,991.10, 578,031.70 and 411,991.10 is: 578,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,991.10 : 578,031.70 = 411,991.10 : x
  2. Step 2: Convert to fraction form
    411,991.10/578,031.70 = 411,991.10/x
  3. Step 3: Cross multiply
    411,991.10x = 578,031.70 × 411,991.10
  4. Step 4: Simplify right side
    411,991.10x = 238,143,915,917.87
  5. Step 5: Solve for x
    x = 238,143,915,917.87/411,991.10
  6. Step 6: Final answer
    x = 578,031.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.