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Finding the Fourth Proportional to 341,226.68, 470,894.45 and 188,264.86

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Solution

The fourth proportional to 341,226.68, 470,894.45 and 188,264.86 is: 259,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,226.68 : 470,894.45 = 188,264.86 : x
  2. Step 2: Convert to fraction form
    341,226.68/470,894.45 = 188,264.86/x
  3. Step 3: Cross multiply
    341,226.68x = 470,894.45 × 188,264.86
  4. Step 4: Simplify right side
    341,226.68x = 88,652,875,585.47
  5. Step 5: Solve for x
    x = 88,652,875,585.47/341,226.68
  6. Step 6: Final answer
    x = 259,806.40

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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.