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Finding the Fourth Proportional to 314,000.94, 471,002.74 and 97,862.42

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Solution

The fourth proportional to 314,000.94, 471,002.74 and 97,862.42 is: 146,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,000.94 : 471,002.74 = 97,862.42 : x
  2. Step 2: Convert to fraction form
    314,000.94/471,002.74 = 97,862.42/x
  3. Step 3: Cross multiply
    314,000.94x = 471,002.74 × 97,862.42
  4. Step 4: Simplify right side
    314,000.94x = 46,093,467,963.03
  5. Step 5: Solve for x
    x = 46,093,467,963.03/314,000.94
  6. Step 6: Final answer
    x = 146,794.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.