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Finding the Fourth Proportional to 599,637.12, 827,601.60 and 357,932.16

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Solution

The fourth proportional to 599,637.12, 827,601.60 and 357,932.16 is: 494,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,637.12 : 827,601.60 = 357,932.16 : x
  2. Step 2: Convert to fraction form
    599,637.12/827,601.60 = 357,932.16/x
  3. Step 3: Cross multiply
    599,637.12x = 827,601.60 × 357,932.16
  4. Step 4: Simplify right side
    599,637.12x = 296,225,228,307.46
  5. Step 5: Solve for x
    x = 296,225,228,307.46/599,637.12
  6. Step 6: Final answer
    x = 494,007.49

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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.