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Finding the Fourth Proportional to 430,062.94, 645,172.17 and 177,202.77

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Solution

The fourth proportional to 430,062.94, 645,172.17 and 177,202.77 is: 265,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,062.94 : 645,172.17 = 177,202.77 : x
  2. Step 2: Convert to fraction form
    430,062.94/645,172.17 = 177,202.77/x
  3. Step 3: Cross multiply
    430,062.94x = 645,172.17 × 177,202.77
  4. Step 4: Simplify right side
    430,062.94x = 114,326,295,650.91
  5. Step 5: Solve for x
    x = 114,326,295,650.91/430,062.94
  6. Step 6: Final answer
    x = 265,836.20

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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.