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Finding the Fourth Proportional to 301,764.98, 416,471.88 and 180,972.72

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Solution

The fourth proportional to 301,764.98, 416,471.88 and 180,972.72 is: 249,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,764.98 : 416,471.88 = 180,972.72 : x
  2. Step 2: Convert to fraction form
    301,764.98/416,471.88 = 180,972.72/x
  3. Step 3: Cross multiply
    301,764.98x = 416,471.88 × 180,972.72
  4. Step 4: Simplify right side
    301,764.98x = 75,370,048,927.11
  5. Step 5: Solve for x
    x = 75,370,048,927.11/301,764.98
  6. Step 6: Final answer
    x = 249,764.07

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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.