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Finding the Fourth Proportional to 298,884.93, 412,458.73 and 162,916.40

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Solution

The fourth proportional to 298,884.93, 412,458.73 and 162,916.40 is: 224,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,884.93 : 412,458.73 = 162,916.40 : x
  2. Step 2: Convert to fraction form
    298,884.93/412,458.73 = 162,916.40/x
  3. Step 3: Cross multiply
    298,884.93x = 412,458.73 × 162,916.40
  4. Step 4: Simplify right side
    298,884.93x = 67,196,290,625.59
  5. Step 5: Solve for x
    x = 67,196,290,625.59/298,884.93
  6. Step 6: Final answer
    x = 224,823.28

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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.