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Finding the Fourth Proportional to 384,821.40, 577,232.10 and 384,821.40

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Solution

The fourth proportional to 384,821.40, 577,232.10 and 384,821.40 is: 577,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,821.40 : 577,232.10 = 384,821.40 : x
  2. Step 2: Convert to fraction form
    384,821.40/577,232.10 = 384,821.40/x
  3. Step 3: Cross multiply
    384,821.40x = 577,232.10 × 384,821.40
  4. Step 4: Simplify right side
    384,821.40x = 222,131,264,846.94
  5. Step 5: Solve for x
    x = 222,131,264,846.94/384,821.40
  6. Step 6: Final answer
    x = 577,232.10

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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.