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Finding the Fourth Proportional to 301,382.07, 415,907.78 and 165,416.91

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Solution

The fourth proportional to 301,382.07, 415,907.78 and 165,416.91 is: 228,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,382.07 : 415,907.78 = 165,416.91 : x
  2. Step 2: Convert to fraction form
    301,382.07/415,907.78 = 165,416.91/x
  3. Step 3: Cross multiply
    301,382.07x = 415,907.78 × 165,416.91
  4. Step 4: Simplify right side
    301,382.07x = 68,798,178,985.48
  5. Step 5: Solve for x
    x = 68,798,178,985.48/301,382.07
  6. Step 6: Final answer
    x = 228,275.62

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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.