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Finding the Fourth Proportional to 415,465.30, 573,334.12 and 234,173.71

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Solution

The fourth proportional to 415,465.30, 573,334.12 and 234,173.71 is: 323,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,465.30 : 573,334.12 = 234,173.71 : x
  2. Step 2: Convert to fraction form
    415,465.30/573,334.12 = 234,173.71/x
  3. Step 3: Cross multiply
    415,465.30x = 573,334.12 × 234,173.71
  4. Step 4: Simplify right side
    415,465.30x = 134,259,778,005.48
  5. Step 5: Solve for x
    x = 134,259,778,005.48/415,465.30
  6. Step 6: Final answer
    x = 323,155.21

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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.