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Finding the Fourth Proportional to 314,104.83, 433,270.11 and 273,915.06

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Solution

The fourth proportional to 314,104.83, 433,270.11 and 273,915.06 is: 377,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,104.83 : 433,270.11 = 273,915.06 : x
  2. Step 2: Convert to fraction form
    314,104.83/433,270.11 = 273,915.06/x
  3. Step 3: Cross multiply
    314,104.83x = 433,270.11 × 273,915.06
  4. Step 4: Simplify right side
    314,104.83x = 118,679,208,176.86
  5. Step 5: Solve for x
    x = 118,679,208,176.86/314,104.83
  6. Step 6: Final answer
    x = 377,833.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.