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Finding the Fourth Proportional to 456,146.65, 629,456.98 and 252,185.66

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Solution

The fourth proportional to 456,146.65, 629,456.98 and 252,185.66 is: 348,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,146.65 : 629,456.98 = 252,185.66 : x
  2. Step 2: Convert to fraction form
    456,146.65/629,456.98 = 252,185.66/x
  3. Step 3: Cross multiply
    456,146.65x = 629,456.98 × 252,185.66
  4. Step 4: Simplify right side
    456,146.65x = 158,740,019,534.69
  5. Step 5: Solve for x
    x = 158,740,019,534.69/456,146.65
  6. Step 6: Final answer
    x = 348,002.16

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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.