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Finding the Fourth Proportional to 461,793.78, 692,794.53 and 162,295.05

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Solution

The fourth proportional to 461,793.78, 692,794.53 and 162,295.05 is: 243,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,793.78 : 692,794.53 = 162,295.05 : x
  2. Step 2: Convert to fraction form
    461,793.78/692,794.53 = 162,295.05/x
  3. Step 3: Cross multiply
    461,793.78x = 692,794.53 × 162,295.05
  4. Step 4: Simplify right side
    461,793.78x = 112,437,122,886.08
  5. Step 5: Solve for x
    x = 112,437,122,886.08/461,793.78
  6. Step 6: Final answer
    x = 243,479.08

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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.