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Finding the Fourth Proportional to 298,433.59, 411,824.93 and 162,464.06

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Solution

The fourth proportional to 298,433.59, 411,824.93 and 162,464.06 is: 224,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,433.59 : 411,824.93 = 162,464.06 : x
  2. Step 2: Convert to fraction form
    298,433.59/411,824.93 = 162,464.06/x
  3. Step 3: Cross multiply
    298,433.59x = 411,824.93 × 162,464.06
  4. Step 4: Simplify right side
    298,433.59x = 66,906,750,354.26
  5. Step 5: Solve for x
    x = 66,906,750,354.26/298,433.59
  6. Step 6: Final answer
    x = 224,193.10

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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.