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Finding the Fourth Proportional to 411,674.80, 578,003.60 and 411,674.80

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Solution

The fourth proportional to 411,674.80, 578,003.60 and 411,674.80 is: 578,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,674.80 : 578,003.60 = 411,674.80 : x
  2. Step 2: Convert to fraction form
    411,674.80/578,003.60 = 411,674.80/x
  3. Step 3: Cross multiply
    411,674.80x = 578,003.60 × 411,674.80
  4. Step 4: Simplify right side
    411,674.80x = 237,949,516,429.28
  5. Step 5: Solve for x
    x = 237,949,516,429.28/411,674.80
  6. Step 6: Final answer
    x = 578,003.60

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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.