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Finding the Fourth Proportional to 298,258.43, 411,601.55 and 162,293.06

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Solution

The fourth proportional to 298,258.43, 411,601.55 and 162,293.06 is: 223,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,258.43 : 411,601.55 = 162,293.06 : x
  2. Step 2: Convert to fraction form
    298,258.43/411,601.55 = 162,293.06/x
  3. Step 3: Cross multiply
    298,258.43x = 411,601.55 × 162,293.06
  4. Step 4: Simplify right side
    298,258.43x = 66,800,075,267.78
  5. Step 5: Solve for x
    x = 66,800,075,267.78/298,258.43
  6. Step 6: Final answer
    x = 223,967.10

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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.