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Finding the Fourth Proportional to 341,193.81, 470,695.17 and 197,870.79

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Solution

The fourth proportional to 341,193.81, 470,695.17 and 197,870.79 is: 272,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,193.81 : 470,695.17 = 197,870.79 : x
  2. Step 2: Convert to fraction form
    341,193.81/470,695.17 = 197,870.79/x
  3. Step 3: Cross multiply
    341,193.81x = 470,695.17 × 197,870.79
  4. Step 4: Simplify right side
    341,193.81x = 93,136,825,137.08
  5. Step 5: Solve for x
    x = 93,136,825,137.08/341,193.81
  6. Step 6: Final answer
    x = 272,973.37

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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.