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Finding the Fourth Proportional to 313,943.32, 470,914.96 and 92,327.32

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Solution

The fourth proportional to 313,943.32, 470,914.96 and 92,327.32 is: 138,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,943.32 : 470,914.96 = 92,327.32 : x
  2. Step 2: Convert to fraction form
    313,943.32/470,914.96 = 92,327.32/x
  3. Step 3: Cross multiply
    313,943.32x = 470,914.96 × 92,327.32
  4. Step 4: Simplify right side
    313,943.32x = 43,478,316,204.71
  5. Step 5: Solve for x
    x = 43,478,316,204.71/313,943.32
  6. Step 6: Final answer
    x = 138,490.97

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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.