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Finding the Fourth Proportional to 313,970.80, 470,783.40 and 103,500.40

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Solution

The fourth proportional to 313,970.80, 470,783.40 and 103,500.40 is: 155,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,970.80 : 470,783.40 = 103,500.40 : x
  2. Step 2: Convert to fraction form
    313,970.80/470,783.40 = 103,500.40/x
  3. Step 3: Cross multiply
    313,970.80x = 470,783.40 × 103,500.40
  4. Step 4: Simplify right side
    313,970.80x = 48,726,270,213.36
  5. Step 5: Solve for x
    x = 48,726,270,213.36/313,970.80
  6. Step 6: Final answer
    x = 155,193.64

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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.