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Finding the Fourth Proportional to 314,051.85, 470,792.69 and 114,230.97

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Solution

The fourth proportional to 314,051.85, 470,792.69 and 114,230.97 is: 171,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,051.85 : 470,792.69 = 114,230.97 : x
  2. Step 2: Convert to fraction form
    314,051.85/470,792.69 = 114,230.97/x
  3. Step 3: Cross multiply
    314,051.85x = 470,792.69 × 114,230.97
  4. Step 4: Simplify right side
    314,051.85x = 53,779,105,647.61
  5. Step 5: Solve for x
    x = 53,779,105,647.61/314,051.85
  6. Step 6: Final answer
    x = 171,242.76

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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.