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Finding the Fourth Proportional to 527,792.10, 728,335.38 and 312,804.53

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Solution

The fourth proportional to 527,792.10, 728,335.38 and 312,804.53 is: 431,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,792.10 : 728,335.38 = 312,804.53 : x
  2. Step 2: Convert to fraction form
    527,792.10/728,335.38 = 312,804.53/x
  3. Step 3: Cross multiply
    527,792.10x = 728,335.38 × 312,804.53
  4. Step 4: Simplify right side
    527,792.10x = 227,826,604,659.25
  5. Step 5: Solve for x
    x = 227,826,604,659.25/527,792.10
  6. Step 6: Final answer
    x = 431,659.75

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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.