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Finding the Fourth Proportional to 434,073.60, 649,843.20 and 309,657.60

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Solution

The fourth proportional to 434,073.60, 649,843.20 and 309,657.60 is: 463,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,073.60 : 649,843.20 = 309,657.60 : x
  2. Step 2: Convert to fraction form
    434,073.60/649,843.20 = 309,657.60/x
  3. Step 3: Cross multiply
    434,073.60x = 649,843.20 × 309,657.60
  4. Step 4: Simplify right side
    434,073.60x = 201,228,885,688.32
  5. Step 5: Solve for x
    x = 201,228,885,688.32/434,073.60
  6. Step 6: Final answer
    x = 463,582.41

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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.