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Finding the Fourth Proportional to 405,878.71, 560,171.74 and 233,763.18

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Solution

The fourth proportional to 405,878.71, 560,171.74 and 233,763.18 is: 322,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,878.71 : 560,171.74 = 233,763.18 : x
  2. Step 2: Convert to fraction form
    405,878.71/560,171.74 = 233,763.18/x
  3. Step 3: Cross multiply
    405,878.71x = 560,171.74 × 233,763.18
  4. Step 4: Simplify right side
    405,878.71x = 130,947,527,288.53
  5. Step 5: Solve for x
    x = 130,947,527,288.53/405,878.71
  6. Step 6: Final answer
    x = 322,627.24

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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.