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Finding the Fourth Proportional to 402,283.40, 603,765.30 and 165,795.80

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Solution

The fourth proportional to 402,283.40, 603,765.30 and 165,795.80 is: 248,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,283.40 : 603,765.30 = 165,795.80 : x
  2. Step 2: Convert to fraction form
    402,283.40/603,765.30 = 165,795.80/x
  3. Step 3: Cross multiply
    402,283.40x = 603,765.30 × 165,795.80
  4. Step 4: Simplify right side
    402,283.40x = 100,101,750,925.74
  5. Step 5: Solve for x
    x = 100,101,750,925.74/402,283.40
  6. Step 6: Final answer
    x = 248,833.91

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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.