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Finding the Fourth Proportional to 301,643.36, 416,409.56 and 174,294.32

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Solution

The fourth proportional to 301,643.36, 416,409.56 and 174,294.32 is: 240,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,643.36 : 416,409.56 = 174,294.32 : x
  2. Step 2: Convert to fraction form
    301,643.36/416,409.56 = 174,294.32/x
  3. Step 3: Cross multiply
    301,643.36x = 416,409.56 × 174,294.32
  4. Step 4: Simplify right side
    301,643.36x = 72,577,821,101.70
  5. Step 5: Solve for x
    x = 72,577,821,101.70/301,643.36
  6. Step 6: Final answer
    x = 240,608.05

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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.