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Finding the Fourth Proportional to 298,802.41, 412,347.40 and 162,836.39

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Solution

The fourth proportional to 298,802.41, 412,347.40 and 162,836.39 is: 224,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,802.41 : 412,347.40 = 162,836.39 : x
  2. Step 2: Convert to fraction form
    298,802.41/412,347.40 = 162,836.39/x
  3. Step 3: Cross multiply
    298,802.41x = 412,347.40 × 162,836.39
  4. Step 4: Simplify right side
    298,802.41x = 67,145,162,665.66
  5. Step 5: Solve for x
    x = 67,145,162,665.66/298,802.41
  6. Step 6: Final answer
    x = 224,714.26

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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.