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Finding the Fourth Proportional to 489,447.72, 675,562.01 and 334,461.74

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Solution

The fourth proportional to 489,447.72, 675,562.01 and 334,461.74 is: 461,642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,447.72 : 675,562.01 = 334,461.74 : x
  2. Step 2: Convert to fraction form
    489,447.72/675,562.01 = 334,461.74/x
  3. Step 3: Cross multiply
    489,447.72x = 675,562.01 × 334,461.74
  4. Step 4: Simplify right side
    489,447.72x = 225,949,640,292.38
  5. Step 5: Solve for x
    x = 225,949,640,292.38/489,447.72
  6. Step 6: Final answer
    x = 461,642.03

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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.