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Finding the Fourth Proportional to 508,494.40, 701,457.32 and 301,642.46

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Solution

The fourth proportional to 508,494.40, 701,457.32 and 301,642.46 is: 416,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,494.40 : 701,457.32 = 301,642.46 : x
  2. Step 2: Convert to fraction form
    508,494.40/701,457.32 = 301,642.46/x
  3. Step 3: Cross multiply
    508,494.40x = 701,457.32 × 301,642.46
  4. Step 4: Simplify right side
    508,494.40x = 211,589,311,589.81
  5. Step 5: Solve for x
    x = 211,589,311,589.81/508,494.40
  6. Step 6: Final answer
    x = 416,109.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.