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Finding the Fourth Proportional to 301,071.98, 415,492.80 and 180,190.28

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Solution

The fourth proportional to 301,071.98, 415,492.80 and 180,190.28 is: 248,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,071.98 : 415,492.80 = 180,190.28 : x
  2. Step 2: Convert to fraction form
    301,071.98/415,492.80 = 180,190.28/x
  3. Step 3: Cross multiply
    301,071.98x = 415,492.80 × 180,190.28
  4. Step 4: Simplify right side
    301,071.98x = 74,867,763,969.98
  5. Step 5: Solve for x
    x = 74,867,763,969.98/301,071.98
  6. Step 6: Final answer
    x = 248,670.65

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1.5x scale

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.