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Finding the Fourth Proportional to 291,784.50, 437,676.75 and 70,168.50

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Solution

The fourth proportional to 291,784.50, 437,676.75 and 70,168.50 is: 105,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,784.50 : 437,676.75 = 70,168.50 : x
  2. Step 2: Convert to fraction form
    291,784.50/437,676.75 = 70,168.50/x
  3. Step 3: Cross multiply
    291,784.50x = 437,676.75 × 70,168.50
  4. Step 4: Simplify right side
    291,784.50x = 30,711,121,032.38
  5. Step 5: Solve for x
    x = 30,711,121,032.38/291,784.50
  6. Step 6: Final answer
    x = 105,252.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.