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Finding the Fourth Proportional to 316,111.60, 436,353.24 and 188,740.72

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Solution

The fourth proportional to 316,111.60, 436,353.24 and 188,740.72 is: 260,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,111.60 : 436,353.24 = 188,740.72 : x
  2. Step 2: Convert to fraction form
    316,111.60/436,353.24 = 188,740.72/x
  3. Step 3: Cross multiply
    316,111.60x = 436,353.24 × 188,740.72
  4. Step 4: Simplify right side
    316,111.60x = 82,357,624,691.93
  5. Step 5: Solve for x
    x = 82,357,624,691.93/316,111.60
  6. Step 6: Final answer
    x = 260,533.38

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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.