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Finding the Fourth Proportional to 597,627.24, 824,701.50 and 325,689.28

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Solution

The fourth proportional to 597,627.24, 824,701.50 and 325,689.28 is: 449,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,627.24 : 824,701.50 = 325,689.28 : x
  2. Step 2: Convert to fraction form
    597,627.24/824,701.50 = 325,689.28/x
  3. Step 3: Cross multiply
    597,627.24x = 824,701.50 × 325,689.28
  4. Step 4: Simplify right side
    597,627.24x = 268,596,437,749.92
  5. Step 5: Solve for x
    x = 268,596,437,749.92/597,627.24
  6. Step 6: Final answer
    x = 449,438.08

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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.