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Finding the Fourth Proportional to 599,894.28, 827,864.01 and 358,197.98

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Solution

The fourth proportional to 599,894.28, 827,864.01 and 358,197.98 is: 494,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,894.28 : 827,864.01 = 358,197.98 : x
  2. Step 2: Convert to fraction form
    599,894.28/827,864.01 = 358,197.98/x
  3. Step 3: Cross multiply
    599,894.28x = 827,864.01 × 358,197.98
  4. Step 4: Simplify right side
    599,894.28x = 296,539,211,957.38
  5. Step 5: Solve for x
    x = 296,539,211,957.38/599,894.28
  6. Step 6: Final answer
    x = 494,319.12

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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.