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Finding the Fourth Proportional to 436,465.14, 654,857.63 and 183,809.23

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Solution

The fourth proportional to 436,465.14, 654,857.63 and 183,809.23 is: 275,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,465.14 : 654,857.63 = 183,809.23 : x
  2. Step 2: Convert to fraction form
    436,465.14/654,857.63 = 183,809.23/x
  3. Step 3: Cross multiply
    436,465.14x = 654,857.63 × 183,809.23
  4. Step 4: Simplify right side
    436,465.14x = 120,368,874,863.02
  5. Step 5: Solve for x
    x = 120,368,874,863.02/436,465.14
  6. Step 6: Final answer
    x = 275,781.19

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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.