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Finding the Fourth Proportional to 597,200, 824,136 and 328,928

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Solution

The fourth proportional to 597,200, 824,136 and 328,928 is: 453,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,200 : 824,136 = 328,928 : x
  2. Step 2: Convert to fraction form
    597,200/824,136 = 328,928/x
  3. Step 3: Cross multiply
    597,200x = 824,136 × 328,928
  4. Step 4: Simplify right side
    597,200x = 271,081,406,208
  5. Step 5: Solve for x
    x = 271,081,406,208/597,200
  6. Step 6: Final answer
    x = 453,920.64

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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.