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Finding the Fourth Proportional to 314,052.48, 470,793.63 and 114,231.60

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Solution

The fourth proportional to 314,052.48, 470,793.63 and 114,231.60 is: 171,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,052.48 : 470,793.63 = 114,231.60 : x
  2. Step 2: Convert to fraction form
    314,052.48/470,793.63 = 114,231.60/x
  3. Step 3: Cross multiply
    314,052.48x = 470,793.63 × 114,231.60
  4. Step 4: Simplify right side
    314,052.48x = 53,779,509,624.71
  5. Step 5: Solve for x
    x = 53,779,509,624.71/314,052.48
  6. Step 6: Final answer
    x = 171,243.70

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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.