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Finding the Fourth Proportional to 341,410.14, 470,926.70 and 207,274.14

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Solution

The fourth proportional to 341,410.14, 470,926.70 and 207,274.14 is: 285,905.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,410.14 : 470,926.70 = 207,274.14 : x
  2. Step 2: Convert to fraction form
    341,410.14/470,926.70 = 207,274.14/x
  3. Step 3: Cross multiply
    341,410.14x = 470,926.70 × 207,274.14
  4. Step 4: Simplify right side
    341,410.14x = 97,610,926,745.54
  5. Step 5: Solve for x
    x = 97,610,926,745.54/341,410.14
  6. Step 6: Final answer
    x = 285,905.18

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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.