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Finding the Fourth Proportional to 301,666.68, 416,441.52 and 174,317.40

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Solution

The fourth proportional to 301,666.68, 416,441.52 and 174,317.40 is: 240,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,666.68 : 416,441.52 = 174,317.40 : x
  2. Step 2: Convert to fraction form
    301,666.68/416,441.52 = 174,317.40/x
  3. Step 3: Cross multiply
    301,666.68x = 416,441.52 × 174,317.40
  4. Step 4: Simplify right side
    301,666.68x = 72,593,003,018.45
  5. Step 5: Solve for x
    x = 72,593,003,018.45/301,666.68
  6. Step 6: Final answer
    x = 240,639.78

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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.