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Finding the Fourth Proportional to 298,436.60, 411,829.06 and 162,467.06

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Solution

The fourth proportional to 298,436.60, 411,829.06 and 162,467.06 is: 224,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,436.60 : 411,829.06 = 162,467.06 : x
  2. Step 2: Convert to fraction form
    298,436.60/411,829.06 = 162,467.06/x
  3. Step 3: Cross multiply
    298,436.60x = 411,829.06 × 162,467.06
  4. Step 4: Simplify right side
    298,436.60x = 66,908,656,600.76
  5. Step 5: Solve for x
    x = 66,908,656,600.76/298,436.60
  6. Step 6: Final answer
    x = 224,197.22

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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.