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Finding the Fourth Proportional to 314,696.88, 471,624.93 and 114,829.38

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Solution

The fourth proportional to 314,696.88, 471,624.93 and 114,829.38 is: 172,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,696.88 : 471,624.93 = 114,829.38 : x
  2. Step 2: Convert to fraction form
    314,696.88/471,624.93 = 114,829.38/x
  3. Step 3: Cross multiply
    314,696.88x = 471,624.93 × 114,829.38
  4. Step 4: Simplify right side
    314,696.88x = 54,156,398,304.44
  5. Step 5: Solve for x
    x = 54,156,398,304.44/314,696.88
  6. Step 6: Final answer
    x = 172,090.67

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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.