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Finding the Fourth Proportional to 298,804.17, 412,349.82 and 162,838.15

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Solution

The fourth proportional to 298,804.17, 412,349.82 and 162,838.15 is: 224,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,804.17 : 412,349.82 = 162,838.15 : x
  2. Step 2: Convert to fraction form
    298,804.17/412,349.82 = 162,838.15/x
  3. Step 3: Cross multiply
    298,804.17x = 412,349.82 × 162,838.15
  4. Step 4: Simplify right side
    298,804.17x = 67,146,281,841.63
  5. Step 5: Solve for x
    x = 67,146,281,841.63/298,804.17
  6. Step 6: Final answer
    x = 224,716.68

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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.