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Finding the Fourth Proportional to 296,140.56, 408,683.64 and 162,004.56

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Solution

The fourth proportional to 296,140.56, 408,683.64 and 162,004.56 is: 223,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,140.56 : 408,683.64 = 162,004.56 : x
  2. Step 2: Convert to fraction form
    296,140.56/408,683.64 = 162,004.56/x
  3. Step 3: Cross multiply
    296,140.56x = 408,683.64 × 162,004.56
  4. Step 4: Simplify right side
    296,140.56x = 66,208,613,277.40
  5. Step 5: Solve for x
    x = 66,208,613,277.40/296,140.56
  6. Step 6: Final answer
    x = 223,571.58

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1.5x scale

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.