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Finding the Fourth Proportional to 291,730.56, 402,582.60 and 164,403.60

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Solution

The fourth proportional to 291,730.56, 402,582.60 and 164,403.60 is: 226,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,730.56 : 402,582.60 = 164,403.60 : x
  2. Step 2: Convert to fraction form
    291,730.56/402,582.60 = 164,403.60/x
  3. Step 3: Cross multiply
    291,730.56x = 402,582.60 × 164,403.60
  4. Step 4: Simplify right side
    291,730.56x = 66,186,028,737.36
  5. Step 5: Solve for x
    x = 66,186,028,737.36/291,730.56
  6. Step 6: Final answer
    x = 226,873.83

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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.