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Finding the Fourth Proportional to 523,635.54, 723,043.17 and 426,854.58

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Solution

The fourth proportional to 523,635.54, 723,043.17 and 426,854.58 is: 589,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,635.54 : 723,043.17 = 426,854.58 : x
  2. Step 2: Convert to fraction form
    523,635.54/723,043.17 = 426,854.58/x
  3. Step 3: Cross multiply
    523,635.54x = 723,043.17 × 426,854.58
  4. Step 4: Simplify right side
    523,635.54x = 308,634,288,652.22
  5. Step 5: Solve for x
    x = 308,634,288,652.22/523,635.54
  6. Step 6: Final answer
    x = 589,406.69

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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.