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Finding the Fourth Proportional to 511,291.90, 705,623.12 and 281,889.78

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Solution

The fourth proportional to 511,291.90, 705,623.12 and 281,889.78 is: 389,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,291.90 : 705,623.12 = 281,889.78 : x
  2. Step 2: Convert to fraction form
    511,291.90/705,623.12 = 281,889.78/x
  3. Step 3: Cross multiply
    511,291.90x = 705,623.12 × 281,889.78
  4. Step 4: Simplify right side
    511,291.90x = 198,907,946,059.71
  5. Step 5: Solve for x
    x = 198,907,946,059.71/511,291.90
  6. Step 6: Final answer
    x = 389,030.11

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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.