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Finding the Fourth Proportional to 298,947.92, 412,547.88 and 162,981.86

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Solution

The fourth proportional to 298,947.92, 412,547.88 and 162,981.86 is: 224,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,947.92 : 412,547.88 = 162,981.86 : x
  2. Step 2: Convert to fraction form
    298,947.92/412,547.88 = 162,981.86/x
  3. Step 3: Cross multiply
    298,947.92x = 412,547.88 × 162,981.86
  4. Step 4: Simplify right side
    298,947.92x = 67,237,821,873.22
  5. Step 5: Solve for x
    x = 67,237,821,873.22/298,947.92
  6. Step 6: Final answer
    x = 224,914.84

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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.