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Finding the Fourth Proportional to 597,187.69, 824,119.01 and 328,915.69

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Solution

The fourth proportional to 597,187.69, 824,119.01 and 328,915.69 is: 453,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,187.69 : 824,119.01 = 328,915.69 : x
  2. Step 2: Convert to fraction form
    597,187.69/824,119.01 = 328,915.69/x
  3. Step 3: Cross multiply
    597,187.69x = 824,119.01 × 328,915.69
  4. Step 4: Simplify right side
    597,187.69x = 271,065,670,344.83
  5. Step 5: Solve for x
    x = 271,065,670,344.83/597,187.69
  6. Step 6: Final answer
    x = 453,903.65

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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.