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Finding the Fourth Proportional to 341,011.54, 470,585.11 and 188,056.18

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Solution

The fourth proportional to 341,011.54, 470,585.11 and 188,056.18 is: 259,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,011.54 : 470,585.11 = 188,056.18 : x
  2. Step 2: Convert to fraction form
    341,011.54/470,585.11 = 188,056.18/x
  3. Step 3: Cross multiply
    341,011.54x = 470,585.11 × 188,056.18
  4. Step 4: Simplify right side
    341,011.54x = 88,496,437,828.81
  5. Step 5: Solve for x
    x = 88,496,437,828.81/341,011.54
  6. Step 6: Final answer
    x = 259,511.56

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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.