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Finding the Fourth Proportional to 307,119.60, 460,679.40 and 286,383.60

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Solution

The fourth proportional to 307,119.60, 460,679.40 and 286,383.60 is: 429,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,119.60 : 460,679.40 = 286,383.60 : x
  2. Step 2: Convert to fraction form
    307,119.60/460,679.40 = 286,383.60/x
  3. Step 3: Cross multiply
    307,119.60x = 460,679.40 × 286,383.60
  4. Step 4: Simplify right side
    307,119.60x = 131,931,025,017.84
  5. Step 5: Solve for x
    x = 131,931,025,017.84/307,119.60
  6. Step 6: Final answer
    x = 429,575.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.