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Finding the Fourth Proportional to 527,967.57, 728,637.30 and 298,573.14

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Solution

The fourth proportional to 527,967.57, 728,637.30 and 298,573.14 is: 412,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,967.57 : 728,637.30 = 298,573.14 : x
  2. Step 2: Convert to fraction form
    527,967.57/728,637.30 = 298,573.14/x
  3. Step 3: Cross multiply
    527,967.57x = 728,637.30 × 298,573.14
  4. Step 4: Simplify right side
    527,967.57x = 217,551,526,582.12
  5. Step 5: Solve for x
    x = 217,551,526,582.12/527,967.57
  6. Step 6: Final answer
    x = 412,054.71

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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.