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Finding the Fourth Proportional to 430,994.72, 646,593.92 and 135,506.72

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Solution

The fourth proportional to 430,994.72, 646,593.92 and 135,506.72 is: 203,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,994.72 : 646,593.92 = 135,506.72 : x
  2. Step 2: Convert to fraction form
    430,994.72/646,593.92 = 135,506.72/x
  3. Step 3: Cross multiply
    430,994.72x = 646,593.92 × 135,506.72
  4. Step 4: Simplify right side
    430,994.72x = 87,617,821,271.14
  5. Step 5: Solve for x
    x = 87,617,821,271.14/430,994.72
  6. Step 6: Final answer
    x = 203,292.10

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Why These Related Problems?

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