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Finding the Fourth Proportional to 597,156.88, 824,077.36 and 325,226

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Solution

The fourth proportional to 597,156.88, 824,077.36 and 325,226 is: 448,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,156.88 : 824,077.36 = 325,226 : x
  2. Step 2: Convert to fraction form
    597,156.88/824,077.36 = 325,226/x
  3. Step 3: Cross multiply
    597,156.88x = 824,077.36 × 325,226
  4. Step 4: Simplify right side
    597,156.88x = 268,011,383,483.36
  5. Step 5: Solve for x
    x = 268,011,383,483.36/597,156.88
  6. Step 6: Final answer
    x = 448,812.35

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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.