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Finding the Fourth Proportional to 416,225.38, 624,666.12 and 213,813.22

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Solution

The fourth proportional to 416,225.38, 624,666.12 and 213,813.22 is: 320,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,225.38 : 624,666.12 = 213,813.22 : x
  2. Step 2: Convert to fraction form
    416,225.38/624,666.12 = 213,813.22/x
  3. Step 3: Cross multiply
    416,225.38x = 624,666.12 × 213,813.22
  4. Step 4: Simplify right side
    416,225.38x = 133,561,874,542.11
  5. Step 5: Solve for x
    x = 133,561,874,542.11/416,225.38
  6. Step 6: Final answer
    x = 320,888.35

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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.