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Finding the Fourth Proportional to 591,409.64, 816,145.04 and 319,477.52

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Solution

The fourth proportional to 591,409.64, 816,145.04 and 319,477.52 is: 440,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,409.64 : 816,145.04 = 319,477.52 : x
  2. Step 2: Convert to fraction form
    591,409.64/816,145.04 = 319,477.52/x
  3. Step 3: Cross multiply
    591,409.64x = 816,145.04 × 319,477.52
  4. Step 4: Simplify right side
    591,409.64x = 260,739,987,661.39
  5. Step 5: Solve for x
    x = 260,739,987,661.39/591,409.64
  6. Step 6: Final answer
    x = 440,878.83

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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.