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Finding the Fourth Proportional to 495,492.89, 743,243.71 and 195,973.50

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Solution

The fourth proportional to 495,492.89, 743,243.71 and 195,973.50 is: 293,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,492.89 : 743,243.71 = 195,973.50 : x
  2. Step 2: Convert to fraction form
    495,492.89/743,243.71 = 195,973.50/x
  3. Step 3: Cross multiply
    495,492.89x = 743,243.71 × 195,973.50
  4. Step 4: Simplify right side
    495,492.89x = 145,656,070,711.75
  5. Step 5: Solve for x
    x = 145,656,070,711.75/495,492.89
  6. Step 6: Final answer
    x = 293,961.98

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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.