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Finding the Fourth Proportional to 340,812.95, 470,294.21 and 197,582.22

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Solution

The fourth proportional to 340,812.95, 470,294.21 and 197,582.22 is: 272,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,812.95 : 470,294.21 = 197,582.22 : x
  2. Step 2: Convert to fraction form
    340,812.95/470,294.21 = 197,582.22/x
  3. Step 3: Cross multiply
    340,812.95x = 470,294.21 × 197,582.22
  4. Step 4: Simplify right side
    340,812.95x = 92,921,776,820.81
  5. Step 5: Solve for x
    x = 92,921,776,820.81/340,812.95
  6. Step 6: Final answer
    x = 272,647.43

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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.