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Finding the Fourth Proportional to 419,016.66, 578,919.51 and 292,258.14

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Solution

The fourth proportional to 419,016.66, 578,919.51 and 292,258.14 is: 403,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,016.66 : 578,919.51 = 292,258.14 : x
  2. Step 2: Convert to fraction form
    419,016.66/578,919.51 = 292,258.14/x
  3. Step 3: Cross multiply
    419,016.66x = 578,919.51 × 292,258.14
  4. Step 4: Simplify right side
    419,016.66x = 169,193,939,202.31
  5. Step 5: Solve for x
    x = 169,193,939,202.31/419,016.66
  6. Step 6: Final answer
    x = 403,788.10

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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.