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Finding the Fourth Proportional to 313,897.20, 470,874.60 and 103,535.60

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Solution

The fourth proportional to 313,897.20, 470,874.60 and 103,535.60 is: 155,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.20 : 470,874.60 = 103,535.60 : x
  2. Step 2: Convert to fraction form
    313,897.20/470,874.60 = 103,535.60/x
  3. Step 3: Cross multiply
    313,897.20x = 470,874.60 × 103,535.60
  4. Step 4: Simplify right side
    313,897.20x = 48,752,284,235.76
  5. Step 5: Solve for x
    x = 48,752,284,235.76/313,897.20
  6. Step 6: Final answer
    x = 155,312.90

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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.