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Finding the Fourth Proportional to 301,765.48, 416,472.57 and 180,973.22

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Solution

The fourth proportional to 301,765.48, 416,472.57 and 180,973.22 is: 249,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,765.48 : 416,472.57 = 180,973.22 : x
  2. Step 2: Convert to fraction form
    301,765.48/416,472.57 = 180,973.22/x
  3. Step 3: Cross multiply
    301,765.48x = 416,472.57 × 180,973.22
  4. Step 4: Simplify right side
    301,765.48x = 75,370,382,034.58
  5. Step 5: Solve for x
    x = 75,370,382,034.58/301,765.48
  6. Step 6: Final answer
    x = 249,764.76

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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.