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Finding the Fourth Proportional to 302,039.20, 416,767.44 and 174,726.64

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Solution

The fourth proportional to 302,039.20, 416,767.44 and 174,726.64 is: 241,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,039.20 : 416,767.44 = 174,726.64 : x
  2. Step 2: Convert to fraction form
    302,039.20/416,767.44 = 174,726.64/x
  3. Step 3: Cross multiply
    302,039.20x = 416,767.44 × 174,726.64
  4. Step 4: Simplify right side
    302,039.20x = 72,820,374,452.60
  5. Step 5: Solve for x
    x = 72,820,374,452.60/302,039.20
  6. Step 6: Final answer
    x = 241,095.77

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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.