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Finding the Fourth Proportional to 398,653.68, 596,162.51 and 297,523.16

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Solution

The fourth proportional to 398,653.68, 596,162.51 and 297,523.16 is: 444,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,653.68 : 596,162.51 = 297,523.16 : x
  2. Step 2: Convert to fraction form
    398,653.68/596,162.51 = 297,523.16/x
  3. Step 3: Cross multiply
    398,653.68x = 596,162.51 × 297,523.16
  4. Step 4: Simplify right side
    398,653.68x = 177,372,153,848.73
  5. Step 5: Solve for x
    x = 177,372,153,848.73/398,653.68
  6. Step 6: Final answer
    x = 444,927.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.