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Finding the Fourth Proportional to 313,343.40, 470,015.10 and 194,953.80

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Solution

The fourth proportional to 313,343.40, 470,015.10 and 194,953.80 is: 292,430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,343.40 : 470,015.10 = 194,953.80 : x
  2. Step 2: Convert to fraction form
    313,343.40/470,015.10 = 194,953.80/x
  3. Step 3: Cross multiply
    313,343.40x = 470,015.10 × 194,953.80
  4. Step 4: Simplify right side
    313,343.40x = 91,631,229,802.38
  5. Step 5: Solve for x
    x = 91,631,229,802.38/313,343.40
  6. Step 6: Final answer
    x = 292,430.70

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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.