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Finding the Fourth Proportional to 301,642.36, 416,408.18 and 174,293.32

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Solution

The fourth proportional to 301,642.36, 416,408.18 and 174,293.32 is: 240,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,642.36 : 416,408.18 = 174,293.32 : x
  2. Step 2: Convert to fraction form
    301,642.36/416,408.18 = 174,293.32/x
  3. Step 3: Cross multiply
    301,642.36x = 416,408.18 × 174,293.32
  4. Step 4: Simplify right side
    301,642.36x = 72,577,164,167.36
  5. Step 5: Solve for x
    x = 72,577,164,167.36/301,642.36
  6. Step 6: Final answer
    x = 240,606.67

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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.