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Finding the Fourth Proportional to 316,166.60, 436,321.14 and 180,221.06

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Solution

The fourth proportional to 316,166.60, 436,321.14 and 180,221.06 is: 248,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,166.60 : 436,321.14 = 180,221.06 : x
  2. Step 2: Convert to fraction form
    316,166.60/436,321.14 = 180,221.06/x
  3. Step 3: Cross multiply
    316,166.60x = 436,321.14 × 180,221.06
  4. Step 4: Simplify right side
    316,166.60x = 78,634,258,351.21
  5. Step 5: Solve for x
    x = 78,634,258,351.21/316,166.60
  6. Step 6: Final answer
    x = 248,711.47

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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.