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Finding the Fourth Proportional to 340,671.90, 470,023.14 and 197,404.26

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Solution

The fourth proportional to 340,671.90, 470,023.14 and 197,404.26 is: 272,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,671.90 : 470,023.14 = 197,404.26 : x
  2. Step 2: Convert to fraction form
    340,671.90/470,023.14 = 197,404.26/x
  3. Step 3: Cross multiply
    340,671.90x = 470,023.14 × 197,404.26
  4. Step 4: Simplify right side
    340,671.90x = 92,784,570,134.58
  5. Step 5: Solve for x
    x = 92,784,570,134.58/340,671.90
  6. Step 6: Final answer
    x = 272,357.57

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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.