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Finding the Fourth Proportional to 597,615.12, 824,688 and 325,677.51

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Solution

The fourth proportional to 597,615.12, 824,688 and 325,677.51 is: 449,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,615.12 : 824,688 = 325,677.51 : x
  2. Step 2: Convert to fraction form
    597,615.12/824,688 = 325,677.51/x
  3. Step 3: Cross multiply
    597,615.12x = 824,688 × 325,677.51
  4. Step 4: Simplify right side
    597,615.12x = 268,582,334,366.88
  5. Step 5: Solve for x
    x = 268,582,334,366.88/597,615.12
  6. Step 6: Final answer
    x = 449,423.59

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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.