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Finding the Fourth Proportional to 301,666.48, 416,416.08 and 226,433.68

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Solution

The fourth proportional to 301,666.48, 416,416.08 and 226,433.68 is: 312,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,666.48 : 416,416.08 = 226,433.68 : x
  2. Step 2: Convert to fraction form
    301,666.48/416,416.08 = 226,433.68/x
  3. Step 3: Cross multiply
    301,666.48x = 416,416.08 × 226,433.68
  4. Step 4: Simplify right side
    301,666.48x = 94,290,625,405.57
  5. Step 5: Solve for x
    x = 94,290,625,405.57/301,666.48
  6. Step 6: Final answer
    x = 312,565.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.