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Finding the Fourth Proportional to 306,810.95, 460,408.08 and 117,287.35

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Solution

The fourth proportional to 306,810.95, 460,408.08 and 117,287.35 is: 176,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,810.95 : 460,408.08 = 117,287.35 : x
  2. Step 2: Convert to fraction form
    306,810.95/460,408.08 = 117,287.35/x
  3. Step 3: Cross multiply
    306,810.95x = 460,408.08 × 117,287.35
  4. Step 4: Simplify right side
    306,810.95x = 54,000,042,910.60
  5. Step 5: Solve for x
    x = 54,000,042,910.60/306,810.95
  6. Step 6: Final answer
    x = 176,004.29

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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.