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Finding the Fourth Proportional to 366,492.60, 549,662.10 and 179,638.20

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Solution

The fourth proportional to 366,492.60, 549,662.10 and 179,638.20 is: 269,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,492.60 : 549,662.10 = 179,638.20 : x
  2. Step 2: Convert to fraction form
    366,492.60/549,662.10 = 179,638.20/x
  3. Step 3: Cross multiply
    366,492.60x = 549,662.10 × 179,638.20
  4. Step 4: Simplify right side
    366,492.60x = 98,740,310,252.22
  5. Step 5: Solve for x
    x = 98,740,310,252.22/366,492.60
  6. Step 6: Final answer
    x = 269,419.66

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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.