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Finding the Fourth Proportional to 432,643.07, 597,211.65 and 325,524.49

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Solution

The fourth proportional to 432,643.07, 597,211.65 and 325,524.49 is: 449,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,643.07 : 597,211.65 = 325,524.49 : x
  2. Step 2: Convert to fraction form
    432,643.07/597,211.65 = 325,524.49/x
  3. Step 3: Cross multiply
    432,643.07x = 597,211.65 × 325,524.49
  4. Step 4: Simplify right side
    432,643.07x = 194,407,016,295.28
  5. Step 5: Solve for x
    x = 194,407,016,295.28/432,643.07
  6. Step 6: Final answer
    x = 449,347.35

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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.