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Finding the Fourth Proportional to 511,813.86, 706,303.20 and 285,459.36

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Solution

The fourth proportional to 511,813.86, 706,303.20 and 285,459.36 is: 393,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,813.86 : 706,303.20 = 285,459.36 : x
  2. Step 2: Convert to fraction form
    511,813.86/706,303.20 = 285,459.36/x
  3. Step 3: Cross multiply
    511,813.86x = 706,303.20 × 285,459.36
  4. Step 4: Simplify right side
    511,813.86x = 201,620,859,437.95
  5. Step 5: Solve for x
    x = 201,620,859,437.95/511,813.86
  6. Step 6: Final answer
    x = 393,933.96

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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.