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Finding the Fourth Proportional to 560,268, 840,409.32 and 186,291

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Solution

The fourth proportional to 560,268, 840,409.32 and 186,291 is: 279,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,268 : 840,409.32 = 186,291 : x
  2. Step 2: Convert to fraction form
    560,268/840,409.32 = 186,291/x
  3. Step 3: Cross multiply
    560,268x = 840,409.32 × 186,291
  4. Step 4: Simplify right side
    560,268x = 156,560,692,632.12
  5. Step 5: Solve for x
    x = 156,560,692,632.12/560,268
  6. Step 6: Final answer
    x = 279,438.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.