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Finding the Fourth Proportional to 298,289.52, 411,638.80 and 162,323.44

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Solution

The fourth proportional to 298,289.52, 411,638.80 and 162,323.44 is: 224,005.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,289.52 : 411,638.80 = 162,323.44 : x
  2. Step 2: Convert to fraction form
    298,289.52/411,638.80 = 162,323.44/x
  3. Step 3: Cross multiply
    298,289.52x = 411,638.80 × 162,323.44
  4. Step 4: Simplify right side
    298,289.52x = 66,818,626,053.47
  5. Step 5: Solve for x
    x = 66,818,626,053.47/298,289.52
  6. Step 6: Final answer
    x = 224,005.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.