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Finding the Fourth Proportional to 341,390.14, 470,899.10 and 207,254.14

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Solution

The fourth proportional to 341,390.14, 470,899.10 and 207,254.14 is: 285,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,390.14 : 470,899.10 = 207,254.14 : x
  2. Step 2: Convert to fraction form
    341,390.14/470,899.10 = 207,254.14/x
  3. Step 3: Cross multiply
    341,390.14x = 470,899.10 × 207,254.14
  4. Step 4: Simplify right side
    341,390.14x = 97,595,787,997.27
  5. Step 5: Solve for x
    x = 97,595,787,997.27/341,390.14
  6. Step 6: Final answer
    x = 285,877.58

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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.