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Finding the Fourth Proportional to 436,104.90, 654,411.16 and 183,367.08

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Solution

The fourth proportional to 436,104.90, 654,411.16 and 183,367.08 is: 275,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,104.90 : 654,411.16 = 183,367.08 : x
  2. Step 2: Convert to fraction form
    436,104.90/654,411.16 = 183,367.08/x
  3. Step 3: Cross multiply
    436,104.90x = 654,411.16 × 183,367.08
  4. Step 4: Simplify right side
    436,104.90x = 119,997,463,528.61
  5. Step 5: Solve for x
    x = 119,997,463,528.61/436,104.90
  6. Step 6: Final answer
    x = 275,157.34

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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.