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Finding the Fourth Proportional to 549,463.25, 824,726.81 and 265,353.27

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Solution

The fourth proportional to 549,463.25, 824,726.81 and 265,353.27 is: 398,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,463.25 : 824,726.81 = 265,353.27 : x
  2. Step 2: Convert to fraction form
    549,463.25/824,726.81 = 265,353.27/x
  3. Step 3: Cross multiply
    549,463.25x = 824,726.81 × 265,353.27
  4. Step 4: Simplify right side
    549,463.25x = 218,843,953,460.83
  5. Step 5: Solve for x
    x = 218,843,953,460.83/549,463.25
  6. Step 6: Final answer
    x = 398,286.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.