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Finding the Fourth Proportional to 301,530.60, 416,082.75 and 174,203.46

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Solution

The fourth proportional to 301,530.60, 416,082.75 and 174,203.46 is: 240,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,530.60 : 416,082.75 = 174,203.46 : x
  2. Step 2: Convert to fraction form
    301,530.60/416,082.75 = 174,203.46/x
  3. Step 3: Cross multiply
    301,530.60x = 416,082.75 × 174,203.46
  4. Step 4: Simplify right side
    301,530.60x = 72,483,054,696.32
  5. Step 5: Solve for x
    x = 72,483,054,696.32/301,530.60
  6. Step 6: Final answer
    x = 240,383.74

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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.