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Finding the Fourth Proportional to 298,804.32, 412,342.38 and 162,841.77

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Solution

The fourth proportional to 298,804.32, 412,342.38 and 162,841.77 is: 224,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,804.32 : 412,342.38 = 162,841.77 : x
  2. Step 2: Convert to fraction form
    298,804.32/412,342.38 = 162,841.77/x
  3. Step 3: Cross multiply
    298,804.32x = 412,342.38 × 162,841.77
  4. Step 4: Simplify right side
    298,804.32x = 67,146,563,005.21
  5. Step 5: Solve for x
    x = 67,146,563,005.21/298,804.32
  6. Step 6: Final answer
    x = 224,717.51

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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.