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Finding the Fourth Proportional to 597,006.05, 824,210.02 and 393,648.53

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Solution

The fourth proportional to 597,006.05, 824,210.02 and 393,648.53 is: 543,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,006.05 : 824,210.02 = 393,648.53 : x
  2. Step 2: Convert to fraction form
    597,006.05/824,210.02 = 393,648.53/x
  3. Step 3: Cross multiply
    597,006.05x = 824,210.02 × 393,648.53
  4. Step 4: Simplify right side
    597,006.05x = 324,449,065,336.86
  5. Step 5: Solve for x
    x = 324,449,065,336.86/597,006.05
  6. Step 6: Final answer
    x = 543,460.26

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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.