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Finding the Fourth Proportional to 416,222.43, 624,308.01 and 256,328.83

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Solution

The fourth proportional to 416,222.43, 624,308.01 and 256,328.83 is: 384,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,222.43 : 624,308.01 = 256,328.83 : x
  2. Step 2: Convert to fraction form
    416,222.43/624,308.01 = 256,328.83/x
  3. Step 3: Cross multiply
    416,222.43x = 624,308.01 × 256,328.83
  4. Step 4: Simplify right side
    416,222.43x = 160,028,141,762.93
  5. Step 5: Solve for x
    x = 160,028,141,762.93/416,222.43
  6. Step 6: Final answer
    x = 384,477.46

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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.