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Finding the Fourth Proportional to 313,486.80, 470,230.20 and 103,097.40

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Solution

The fourth proportional to 313,486.80, 470,230.20 and 103,097.40 is: 154,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,486.80 : 470,230.20 = 103,097.40 : x
  2. Step 2: Convert to fraction form
    313,486.80/470,230.20 = 103,097.40/x
  3. Step 3: Cross multiply
    313,486.80x = 470,230.20 × 103,097.40
  4. Step 4: Simplify right side
    313,486.80x = 48,479,511,021.48
  5. Step 5: Solve for x
    x = 48,479,511,021.48/313,486.80
  6. Step 6: Final answer
    x = 154,646.10

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1.5x scale

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.