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Finding the Fourth Proportional to 314,129.76, 470,865.60 and 153,984.48

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Solution

The fourth proportional to 314,129.76, 470,865.60 and 153,984.48 is: 230,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,129.76 : 470,865.60 = 153,984.48 : x
  2. Step 2: Convert to fraction form
    314,129.76/470,865.60 = 153,984.48/x
  3. Step 3: Cross multiply
    314,129.76x = 470,865.60 × 153,984.48
  4. Step 4: Simplify right side
    314,129.76x = 72,505,994,565.89
  5. Step 5: Solve for x
    x = 72,505,994,565.89/314,129.76
  6. Step 6: Final answer
    x = 230,815.43

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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.