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Finding the Fourth Proportional to 298,718.12, 412,228.70 and 162,751.64

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Solution

The fourth proportional to 298,718.12, 412,228.70 and 162,751.64 is: 224,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,718.12 : 412,228.70 = 162,751.64 : x
  2. Step 2: Convert to fraction form
    298,718.12/412,228.70 = 162,751.64/x
  3. Step 3: Cross multiply
    298,718.12x = 412,228.70 × 162,751.64
  4. Step 4: Simplify right side
    298,718.12x = 67,090,894,105.17
  5. Step 5: Solve for x
    x = 67,090,894,105.17/298,718.12
  6. Step 6: Final answer
    x = 224,596.00

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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.