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Finding the Fourth Proportional to 405,514.60, 608,886.30 and 312,125.80

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Solution

The fourth proportional to 405,514.60, 608,886.30 and 312,125.80 is: 468,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,514.60 : 608,886.30 = 312,125.80 : x
  2. Step 2: Convert to fraction form
    405,514.60/608,886.30 = 312,125.80/x
  3. Step 3: Cross multiply
    405,514.60x = 608,886.30 × 312,125.80
  4. Step 4: Simplify right side
    405,514.60x = 190,049,123,496.54
  5. Step 5: Solve for x
    x = 190,049,123,496.54/405,514.60
  6. Step 6: Final answer
    x = 468,661.61

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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.