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Finding the Fourth Proportional to 511,083.99, 705,296.10 and 278,509.35

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Solution

The fourth proportional to 511,083.99, 705,296.10 and 278,509.35 is: 384,343.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,083.99 : 705,296.10 = 278,509.35 : x
  2. Step 2: Convert to fraction form
    511,083.99/705,296.10 = 278,509.35/x
  3. Step 3: Cross multiply
    511,083.99x = 705,296.10 × 278,509.35
  4. Step 4: Simplify right side
    511,083.99x = 196,431,558,368.54
  5. Step 5: Solve for x
    x = 196,431,558,368.54/511,083.99
  6. Step 6: Final answer
    x = 384,343.01

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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.