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Finding the Fourth Proportional to 489,498.88, 734,256.42 and 134,510.71

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Solution

The fourth proportional to 489,498.88, 734,256.42 and 134,510.71 is: 201,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,498.88 : 734,256.42 = 134,510.71 : x
  2. Step 2: Convert to fraction form
    489,498.88/734,256.42 = 134,510.71/x
  3. Step 3: Cross multiply
    489,498.88x = 734,256.42 × 134,510.71
  4. Step 4: Simplify right side
    489,498.88x = 98,765,352,376.26
  5. Step 5: Solve for x
    x = 98,765,352,376.26/489,498.88
  6. Step 6: Final answer
    x = 201,768.29

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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.