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Finding the Fourth Proportional to 597,507.96, 824,550.38 and 325,577.74

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Solution

The fourth proportional to 597,507.96, 824,550.38 and 325,577.74 is: 449,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,507.96 : 824,550.38 = 325,577.74 : x
  2. Step 2: Convert to fraction form
    597,507.96/824,550.38 = 325,577.74/x
  3. Step 3: Cross multiply
    597,507.96x = 824,550.38 × 325,577.74
  4. Step 4: Simplify right side
    597,507.96x = 268,455,249,236.54
  5. Step 5: Solve for x
    x = 268,455,249,236.54/597,507.96
  6. Step 6: Final answer
    x = 449,291.50

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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.