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Finding the Fourth Proportional to 341,047.60, 470,522.28 and 197,728.72

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Solution

The fourth proportional to 341,047.60, 470,522.28 and 197,728.72 is: 272,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,047.60 : 470,522.28 = 197,728.72 : x
  2. Step 2: Convert to fraction form
    341,047.60/470,522.28 = 197,728.72/x
  3. Step 3: Cross multiply
    341,047.60x = 470,522.28 × 197,728.72
  4. Step 4: Simplify right side
    341,047.60x = 93,035,768,155.88
  5. Step 5: Solve for x
    x = 93,035,768,155.88/341,047.60
  6. Step 6: Final answer
    x = 272,794.09

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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.