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Finding the Fourth Proportional to 298,400.42, 411,827.74 and 167,599.64

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Solution

The fourth proportional to 298,400.42, 411,827.74 and 167,599.64 is: 231,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,400.42 : 411,827.74 = 167,599.64 : x
  2. Step 2: Convert to fraction form
    298,400.42/411,827.74 = 167,599.64/x
  3. Step 3: Cross multiply
    298,400.42x = 411,827.74 × 167,599.64
  4. Step 4: Simplify right side
    298,400.42x = 69,022,180,966.01
  5. Step 5: Solve for x
    x = 69,022,180,966.01/298,400.42
  6. Step 6: Final answer
    x = 231,307.25

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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.