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Finding the Fourth Proportional to 301,733.40, 416,399.45 and 165,776.16

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Solution

The fourth proportional to 301,733.40, 416,399.45 and 165,776.16 is: 228,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.40 : 416,399.45 = 165,776.16 : x
  2. Step 2: Convert to fraction form
    301,733.40/416,399.45 = 165,776.16/x
  3. Step 3: Cross multiply
    301,733.40x = 416,399.45 × 165,776.16
  4. Step 4: Simplify right side
    301,733.40x = 69,029,101,018.23
  5. Step 5: Solve for x
    x = 69,029,101,018.23/301,733.40
  6. Step 6: Final answer
    x = 228,775.14

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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.