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Finding the Fourth Proportional to 402,127.40, 603,531.30 and 165,639.80

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Solution

The fourth proportional to 402,127.40, 603,531.30 and 165,639.80 is: 248,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,127.40 : 603,531.30 = 165,639.80 : x
  2. Step 2: Convert to fraction form
    402,127.40/603,531.30 = 165,639.80/x
  3. Step 3: Cross multiply
    402,127.40x = 603,531.30 × 165,639.80
  4. Step 4: Simplify right side
    402,127.40x = 99,968,803,825.74
  5. Step 5: Solve for x
    x = 99,968,803,825.74/402,127.40
  6. Step 6: Final answer
    x = 248,599.83

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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.