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Finding the Fourth Proportional to 597,763.61, 824,901.47 and 325,829.15

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Solution

The fourth proportional to 597,763.61, 824,901.47 and 325,829.15 is: 449,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,763.61 : 824,901.47 = 325,829.15 : x
  2. Step 2: Convert to fraction form
    597,763.61/824,901.47 = 325,829.15/x
  3. Step 3: Cross multiply
    597,763.61x = 824,901.47 × 325,829.15
  4. Step 4: Simplify right side
    597,763.61x = 268,776,943,365.44
  5. Step 5: Solve for x
    x = 268,776,943,365.44/597,763.61
  6. Step 6: Final answer
    x = 449,637.51

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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.