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Finding the Fourth Proportional to 594,933.17, 821,008.05 and 323,000.78

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Solution

The fourth proportional to 594,933.17, 821,008.05 and 323,000.78 is: 445,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,933.17 : 821,008.05 = 323,000.78 : x
  2. Step 2: Convert to fraction form
    594,933.17/821,008.05 = 323,000.78/x
  3. Step 3: Cross multiply
    594,933.17x = 821,008.05 × 323,000.78
  4. Step 4: Simplify right side
    594,933.17x = 265,186,240,536.28
  5. Step 5: Solve for x
    x = 265,186,240,536.28/594,933.17
  6. Step 6: Final answer
    x = 445,741.23

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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.