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Finding the Fourth Proportional to 464,295.52, 696,423.84 and 148,745.44

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Solution

The fourth proportional to 464,295.52, 696,423.84 and 148,745.44 is: 223,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,295.52 : 696,423.84 = 148,745.44 : x
  2. Step 2: Convert to fraction form
    464,295.52/696,423.84 = 148,745.44/x
  3. Step 3: Cross multiply
    464,295.52x = 696,423.84 × 148,745.44
  4. Step 4: Simplify right side
    464,295.52x = 103,589,870,507.29
  5. Step 5: Solve for x
    x = 103,589,870,507.29/464,295.52
  6. Step 6: Final answer
    x = 223,111.93

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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.