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Finding the Fourth Proportional to 597,973.48, 825,223.14 and 356,223

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Solution

The fourth proportional to 597,973.48, 825,223.14 and 356,223 is: 491,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,973.48 : 825,223.14 = 356,223 : x
  2. Step 2: Convert to fraction form
    597,973.48/825,223.14 = 356,223/x
  3. Step 3: Cross multiply
    597,973.48x = 825,223.14 × 356,223
  4. Step 4: Simplify right side
    597,973.48x = 293,963,462,600.22
  5. Step 5: Solve for x
    x = 293,963,462,600.22/597,973.48
  6. Step 6: Final answer
    x = 491,599.50

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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.