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Finding the Fourth Proportional to 313,929.80, 470,894.70 and 181,219.40

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Solution

The fourth proportional to 313,929.80, 470,894.70 and 181,219.40 is: 271,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.80 : 470,894.70 = 181,219.40 : x
  2. Step 2: Convert to fraction form
    313,929.80/470,894.70 = 181,219.40/x
  3. Step 3: Cross multiply
    313,929.80x = 470,894.70 × 181,219.40
  4. Step 4: Simplify right side
    313,929.80x = 85,335,254,997.18
  5. Step 5: Solve for x
    x = 85,335,254,997.18/313,929.80
  6. Step 6: Final answer
    x = 271,829.10

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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.