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Finding the Fourth Proportional to 256,477.59, 353,982.13 and 173,654.01

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Solution

The fourth proportional to 256,477.59, 353,982.13 and 173,654.01 is: 239,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,477.59 : 353,982.13 = 173,654.01 : x
  2. Step 2: Convert to fraction form
    256,477.59/353,982.13 = 173,654.01/x
  3. Step 3: Cross multiply
    256,477.59x = 353,982.13 × 173,654.01
  4. Step 4: Simplify right side
    256,477.59x = 61,470,416,885.51
  5. Step 5: Solve for x
    x = 61,470,416,885.51/256,477.59
  6. Step 6: Final answer
    x = 239,671.69

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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.