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Finding the Fourth Proportional to 340,671.06, 470,182.05 and 189,816.66

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Solution

The fourth proportional to 340,671.06, 470,182.05 and 189,816.66 is: 261,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,671.06 : 470,182.05 = 189,816.66 : x
  2. Step 2: Convert to fraction form
    340,671.06/470,182.05 = 189,816.66/x
  3. Step 3: Cross multiply
    340,671.06x = 470,182.05 × 189,816.66
  4. Step 4: Simplify right side
    340,671.06x = 89,248,386,322.95
  5. Step 5: Solve for x
    x = 89,248,386,322.95/340,671.06
  6. Step 6: Final answer
    x = 261,978.19

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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.