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Finding the Fourth Proportional to 597,412.82, 824,405.90 and 325,482.86

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Solution

The fourth proportional to 597,412.82, 824,405.90 and 325,482.86 is: 449,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,412.82 : 824,405.90 = 325,482.86 : x
  2. Step 2: Convert to fraction form
    597,412.82/824,405.90 = 325,482.86/x
  3. Step 3: Cross multiply
    597,412.82x = 824,405.90 × 325,482.86
  4. Step 4: Simplify right side
    597,412.82x = 268,329,990,132.87
  5. Step 5: Solve for x
    x = 268,329,990,132.87/597,412.82
  6. Step 6: Final answer
    x = 449,153.38

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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.