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Finding the Fourth Proportional to 430,579.50, 646,024.77 and 135,091.50

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Solution

The fourth proportional to 430,579.50, 646,024.77 and 135,091.50 is: 202,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,579.50 : 646,024.77 = 135,091.50 : x
  2. Step 2: Convert to fraction form
    430,579.50/646,024.77 = 135,091.50/x
  3. Step 3: Cross multiply
    430,579.50x = 646,024.77 × 135,091.50
  4. Step 4: Simplify right side
    430,579.50x = 87,272,455,216.46
  5. Step 5: Solve for x
    x = 87,272,455,216.46/430,579.50
  6. Step 6: Final answer
    x = 202,686.04

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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.