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Finding the Fourth Proportional to 318,702.94, 477,043.53 and 178,035.10

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Solution

The fourth proportional to 318,702.94, 477,043.53 and 178,035.10 is: 266,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,702.94 : 477,043.53 = 178,035.10 : x
  2. Step 2: Convert to fraction form
    318,702.94/477,043.53 = 178,035.10/x
  3. Step 3: Cross multiply
    318,702.94x = 477,043.53 × 178,035.10
  4. Step 4: Simplify right side
    318,702.94x = 84,930,492,567.90
  5. Step 5: Solve for x
    x = 84,930,492,567.90/318,702.94
  6. Step 6: Final answer
    x = 266,487.95

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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.