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Finding the Fourth Proportional to 297,492, 446,143.36 and 97,766.16

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Solution

The fourth proportional to 297,492, 446,143.36 and 97,766.16 is: 146,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,492 : 446,143.36 = 97,766.16 : x
  2. Step 2: Convert to fraction form
    297,492/446,143.36 = 97,766.16/x
  3. Step 3: Cross multiply
    297,492x = 446,143.36 × 97,766.16
  4. Step 4: Simplify right side
    297,492x = 43,617,723,116.70
  5. Step 5: Solve for x
    x = 43,617,723,116.70/297,492
  6. Step 6: Final answer
    x = 146,618.14

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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.