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Finding the Fourth Proportional to 291,726.64, 402,580.36 and 162,663.60

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Solution

The fourth proportional to 291,726.64, 402,580.36 and 162,663.60 is: 224,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,726.64 : 402,580.36 = 162,663.60 : x
  2. Step 2: Convert to fraction form
    291,726.64/402,580.36 = 162,663.60/x
  3. Step 3: Cross multiply
    291,726.64x = 402,580.36 × 162,663.60
  4. Step 4: Simplify right side
    291,726.64x = 65,485,170,646.90
  5. Step 5: Solve for x
    x = 65,485,170,646.90/291,726.64
  6. Step 6: Final answer
    x = 224,474.43

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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.