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Finding the Fourth Proportional to 416,570.40, 624,726.27 and 150,296.22

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Solution

The fourth proportional to 416,570.40, 624,726.27 and 150,296.22 is: 225,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570.40 : 624,726.27 = 150,296.22 : x
  2. Step 2: Convert to fraction form
    416,570.40/624,726.27 = 150,296.22/x
  3. Step 3: Cross multiply
    416,570.40x = 624,726.27 × 150,296.22
  4. Step 4: Simplify right side
    416,570.40x = 93,893,996,915.70
  5. Step 5: Solve for x
    x = 93,893,996,915.70/416,570.40
  6. Step 6: Final answer
    x = 225,397.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.