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Finding the Fourth Proportional to 402,634.60, 603,951.90 and 165,855.40

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Solution

The fourth proportional to 402,634.60, 603,951.90 and 165,855.40 is: 248,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,634.60 : 603,951.90 = 165,855.40 : x
  2. Step 2: Convert to fraction form
    402,634.60/603,951.90 = 165,855.40/x
  3. Step 3: Cross multiply
    402,634.60x = 603,951.90 × 165,855.40
  4. Step 4: Simplify right side
    402,634.60x = 100,168,683,955.26
  5. Step 5: Solve for x
    x = 100,168,683,955.26/402,634.60
  6. Step 6: Final answer
    x = 248,783.10

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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.