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Finding the Fourth Proportional to 527,832.60, 728,035.74 and 323,894.04

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Solution

The fourth proportional to 527,832.60, 728,035.74 and 323,894.04 is: 446,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,832.60 : 728,035.74 = 323,894.04 : x
  2. Step 2: Convert to fraction form
    527,832.60/728,035.74 = 323,894.04/x
  3. Step 3: Cross multiply
    527,832.60x = 728,035.74 × 323,894.04
  4. Step 4: Simplify right side
    527,832.60x = 235,806,437,092.99
  5. Step 5: Solve for x
    x = 235,806,437,092.99/527,832.60
  6. Step 6: Final answer
    x = 446,744.74

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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.