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Finding the Fourth Proportional to 735,958.98, 1,015,652.18 and 413,668.08

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Solution

The fourth proportional to 735,958.98, 1,015,652.18 and 413,668.08 is: 570,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,958.98 : 1,015,652.18 = 413,668.08 : x
  2. Step 2: Convert to fraction form
    735,958.98/1,015,652.18 = 413,668.08/x
  3. Step 3: Cross multiply
    735,958.98x = 1,015,652.18 × 413,668.08
  4. Step 4: Simplify right side
    735,958.98x = 420,142,888,282.59
  5. Step 5: Solve for x
    x = 420,142,888,282.59/735,958.98
  6. Step 6: Final answer
    x = 570,878.13

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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.