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Finding the Fourth Proportional to 341,221.95, 470,813.29 and 196,045.51

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Solution

The fourth proportional to 341,221.95, 470,813.29 and 196,045.51 is: 270,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,221.95 : 470,813.29 = 196,045.51 : x
  2. Step 2: Convert to fraction form
    341,221.95/470,813.29 = 196,045.51/x
  3. Step 3: Cross multiply
    341,221.95x = 470,813.29 × 196,045.51
  4. Step 4: Simplify right side
    341,221.95x = 92,300,831,552.83
  5. Step 5: Solve for x
    x = 92,300,831,552.83/341,221.95
  6. Step 6: Final answer
    x = 270,500.87

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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.