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Finding the Fourth Proportional to 384,672.15, 577,008.23 and 384,672.15

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Solution

The fourth proportional to 384,672.15, 577,008.23 and 384,672.15 is: 577,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,672.15 : 577,008.23 = 384,672.15 : x
  2. Step 2: Convert to fraction form
    384,672.15/577,008.23 = 384,672.15/x
  3. Step 3: Cross multiply
    384,672.15x = 577,008.23 × 384,672.15
  4. Step 4: Simplify right side
    384,672.15x = 221,958,994,478.43
  5. Step 5: Solve for x
    x = 221,958,994,478.43/384,672.15
  6. Step 6: Final answer
    x = 577,008.23

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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.