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Finding the Fourth Proportional to 301,785.84, 416,475.72 and 180,946.80

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Solution

The fourth proportional to 301,785.84, 416,475.72 and 180,946.80 is: 249,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,785.84 : 416,475.72 = 180,946.80 : x
  2. Step 2: Convert to fraction form
    301,785.84/416,475.72 = 180,946.80/x
  3. Step 3: Cross multiply
    301,785.84x = 416,475.72 × 180,946.80
  4. Step 4: Simplify right side
    301,785.84x = 75,359,948,811.70
  5. Step 5: Solve for x
    x = 75,359,948,811.70/301,785.84
  6. Step 6: Final answer
    x = 249,713.34

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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.