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Finding the Fourth Proportional to 430,886.40, 646,432.14 and 217,129.08

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Solution

The fourth proportional to 430,886.40, 646,432.14 and 217,129.08 is: 325,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,886.40 : 646,432.14 = 217,129.08 : x
  2. Step 2: Convert to fraction form
    430,886.40/646,432.14 = 217,129.08/x
  3. Step 3: Cross multiply
    430,886.40x = 646,432.14 × 217,129.08
  4. Step 4: Simplify right side
    430,886.40x = 140,359,215,840.63
  5. Step 5: Solve for x
    x = 140,359,215,840.63/430,886.40
  6. Step 6: Final answer
    x = 325,745.29

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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.