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Finding the Fourth Proportional to 313,921.98, 470,948.58 and 103,707.54

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Solution

The fourth proportional to 313,921.98, 470,948.58 and 103,707.54 is: 155,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,921.98 : 470,948.58 = 103,707.54 : x
  2. Step 2: Convert to fraction form
    313,921.98/470,948.58 = 103,707.54/x
  3. Step 3: Cross multiply
    313,921.98x = 470,948.58 × 103,707.54
  4. Step 4: Simplify right side
    313,921.98x = 48,840,918,698.29
  5. Step 5: Solve for x
    x = 48,840,918,698.29/313,921.98
  6. Step 6: Final answer
    x = 155,582.98

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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.