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Finding the Fourth Proportional to 496,521.23, 744,198.64 and 229,718.16

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Solution

The fourth proportional to 496,521.23, 744,198.64 and 229,718.16 is: 344,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,521.23 : 744,198.64 = 229,718.16 : x
  2. Step 2: Convert to fraction form
    496,521.23/744,198.64 = 229,718.16/x
  3. Step 3: Cross multiply
    496,521.23x = 744,198.64 × 229,718.16
  4. Step 4: Simplify right side
    496,521.23x = 170,955,941,681.01
  5. Step 5: Solve for x
    x = 170,955,941,681.01/496,521.23
  6. Step 6: Final answer
    x = 344,307.42

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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.