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Finding the Fourth Proportional to 313,403.80, 470,105.70 and 180,693.40

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Solution

The fourth proportional to 313,403.80, 470,105.70 and 180,693.40 is: 271,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,403.80 : 470,105.70 = 180,693.40 : x
  2. Step 2: Convert to fraction form
    313,403.80/470,105.70 = 180,693.40/x
  3. Step 3: Cross multiply
    313,403.80x = 470,105.70 × 180,693.40
  4. Step 4: Simplify right side
    313,403.80x = 84,944,997,292.38
  5. Step 5: Solve for x
    x = 84,944,997,292.38/313,403.80
  6. Step 6: Final answer
    x = 271,040.10

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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.