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Finding the Fourth Proportional to 301,733.94, 416,346.60 and 174,384.96

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Solution

The fourth proportional to 301,733.94, 416,346.60 and 174,384.96 is: 240,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.94 : 416,346.60 = 174,384.96 : x
  2. Step 2: Convert to fraction form
    301,733.94/416,346.60 = 174,384.96/x
  3. Step 3: Cross multiply
    301,733.94x = 416,346.60 × 174,384.96
  4. Step 4: Simplify right side
    301,733.94x = 72,604,585,187.14
  5. Step 5: Solve for x
    x = 72,604,585,187.14/301,733.94
  6. Step 6: Final answer
    x = 240,624.52

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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.