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Finding the Fourth Proportional to 404,588.96, 606,390.80 and 286,294.56

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Solution

The fourth proportional to 404,588.96, 606,390.80 and 286,294.56 is: 429,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,588.96 : 606,390.80 = 286,294.56 : x
  2. Step 2: Convert to fraction form
    404,588.96/606,390.80 = 286,294.56/x
  3. Step 3: Cross multiply
    404,588.96x = 606,390.80 × 286,294.56
  4. Step 4: Simplify right side
    404,588.96x = 173,606,387,274.05
  5. Step 5: Solve for x
    x = 173,606,387,274.05/404,588.96
  6. Step 6: Final answer
    x = 429,093.24

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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.