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Finding the Fourth Proportional to 402,638.93, 603,515.52 and 165,852.44

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Solution

The fourth proportional to 402,638.93, 603,515.52 and 165,852.44 is: 248,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,638.93 : 603,515.52 = 165,852.44 : x
  2. Step 2: Convert to fraction form
    402,638.93/603,515.52 = 165,852.44/x
  3. Step 3: Cross multiply
    402,638.93x = 603,515.52 × 165,852.44
  4. Step 4: Simplify right side
    402,638.93x = 100,094,518,552.29
  5. Step 5: Solve for x
    x = 100,094,518,552.29/402,638.93
  6. Step 6: Final answer
    x = 248,596.23

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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.