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Finding the Fourth Proportional to 295,492.30, 407,794.66 and 180,734.94

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Solution

The fourth proportional to 295,492.30, 407,794.66 and 180,734.94 is: 249,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,492.30 : 407,794.66 = 180,734.94 : x
  2. Step 2: Convert to fraction form
    295,492.30/407,794.66 = 180,734.94/x
  3. Step 3: Cross multiply
    295,492.30x = 407,794.66 × 180,734.94
  4. Step 4: Simplify right side
    295,492.30x = 73,702,743,407.42
  5. Step 5: Solve for x
    x = 73,702,743,407.42/295,492.30
  6. Step 6: Final answer
    x = 249,423.57

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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.