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Finding the Fourth Proportional to 595,421.83, 821,686.07 and 323,489.66

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Solution

The fourth proportional to 595,421.83, 821,686.07 and 323,489.66 is: 446,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,421.83 : 821,686.07 = 323,489.66 : x
  2. Step 2: Convert to fraction form
    595,421.83/821,686.07 = 323,489.66/x
  3. Step 3: Cross multiply
    595,421.83x = 821,686.07 × 323,489.66
  4. Step 4: Simplify right side
    595,421.83x = 265,806,945,793.59
  5. Step 5: Solve for x
    x = 265,806,945,793.59/595,421.83
  6. Step 6: Final answer
    x = 446,417.87

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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.