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Finding the Fourth Proportional to 404,741.80, 606,594.30 and 310,781.80

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Solution

The fourth proportional to 404,741.80, 606,594.30 and 310,781.80 is: 465,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,741.80 : 606,594.30 = 310,781.80 : x
  2. Step 2: Convert to fraction form
    404,741.80/606,594.30 = 310,781.80/x
  3. Step 3: Cross multiply
    404,741.80x = 606,594.30 × 310,781.80
  4. Step 4: Simplify right side
    404,741.80x = 188,518,468,423.74
  5. Step 5: Solve for x
    x = 188,518,468,423.74/404,741.80
  6. Step 6: Final answer
    x = 465,774.65

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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.