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Finding the Fourth Proportional to 340,673.14, 470,024.86 and 197,405.50

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Solution

The fourth proportional to 340,673.14, 470,024.86 and 197,405.50 is: 272,359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,673.14 : 470,024.86 = 197,405.50 : x
  2. Step 2: Convert to fraction form
    340,673.14/470,024.86 = 197,405.50/x
  3. Step 3: Cross multiply
    340,673.14x = 470,024.86 × 197,405.50
  4. Step 4: Simplify right side
    340,673.14x = 92,785,492,500.73
  5. Step 5: Solve for x
    x = 92,785,492,500.73/340,673.14
  6. Step 6: Final answer
    x = 272,359.28

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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.