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Finding the Fourth Proportional to 587,645, 881,716.92 and 321,094.16

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Solution

The fourth proportional to 587,645, 881,716.92 and 321,094.16 is: 481,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,645 : 881,716.92 = 321,094.16 : x
  2. Step 2: Convert to fraction form
    587,645/881,716.92 = 321,094.16/x
  3. Step 3: Cross multiply
    587,645x = 881,716.92 × 321,094.16
  4. Step 4: Simplify right side
    587,645x = 283,114,153,785.19
  5. Step 5: Solve for x
    x = 283,114,153,785.19/587,645
  6. Step 6: Final answer
    x = 481,777.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.