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Finding the Fourth Proportional to 274,503.60, 411,427.35 and 141,315.30

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Solution

The fourth proportional to 274,503.60, 411,427.35 and 141,315.30 is: 211,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,503.60 : 411,427.35 = 141,315.30 : x
  2. Step 2: Convert to fraction form
    274,503.60/411,427.35 = 141,315.30/x
  3. Step 3: Cross multiply
    274,503.60x = 411,427.35 × 141,315.30
  4. Step 4: Simplify right side
    274,503.60x = 58,140,979,393.46
  5. Step 5: Solve for x
    x = 58,140,979,393.46/274,503.60
  6. Step 6: Final answer
    x = 211,804.07

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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.