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Finding the Fourth Proportional to 382,686.70, 574,113.10 and 116,440.30

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Solution

The fourth proportional to 382,686.70, 574,113.10 and 116,440.30 is: 174,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,686.70 : 574,113.10 = 116,440.30 : x
  2. Step 2: Convert to fraction form
    382,686.70/574,113.10 = 116,440.30/x
  3. Step 3: Cross multiply
    382,686.70x = 574,113.10 × 116,440.30
  4. Step 4: Simplify right side
    382,686.70x = 66,849,901,597.93
  5. Step 5: Solve for x
    x = 66,849,901,597.93/382,686.70
  6. Step 6: Final answer
    x = 174,685.72

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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.