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Finding the Fourth Proportional to 595,223.28, 821,410.74 and 323,293.32

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Solution

The fourth proportional to 595,223.28, 821,410.74 and 323,293.32 is: 446,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,223.28 : 821,410.74 = 323,293.32 : x
  2. Step 2: Convert to fraction form
    595,223.28/821,410.74 = 323,293.32/x
  3. Step 3: Cross multiply
    595,223.28x = 821,410.74 × 323,293.32
  4. Step 4: Simplify right side
    595,223.28x = 265,556,605,218.26
  5. Step 5: Solve for x
    x = 265,556,605,218.26/595,223.28
  6. Step 6: Final answer
    x = 446,146.20

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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.