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Finding the Fourth Proportional to 511,338.50, 705,652.57 and 281,904.00

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Solution

The fourth proportional to 511,338.50, 705,652.57 and 281,904.00 is: 389,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,338.50 : 705,652.57 = 281,904.00 : x
  2. Step 2: Convert to fraction form
    511,338.50/705,652.57 = 281,904.00/x
  3. Step 3: Cross multiply
    511,338.50x = 705,652.57 × 281,904.00
  4. Step 4: Simplify right side
    511,338.50x = 198,926,283,322.01
  5. Step 5: Solve for x
    x = 198,926,283,322.01/511,338.50
  6. Step 6: Final answer
    x = 389,030.52

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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.