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Finding the Fourth Proportional to 462,482.88, 693,708.48 and 196,071.84

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Solution

The fourth proportional to 462,482.88, 693,708.48 and 196,071.84 is: 294,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,482.88 : 693,708.48 = 196,071.84 : x
  2. Step 2: Convert to fraction form
    462,482.88/693,708.48 = 196,071.84/x
  3. Step 3: Cross multiply
    462,482.88x = 693,708.48 × 196,071.84
  4. Step 4: Simplify right side
    462,482.88x = 136,016,698,097.20
  5. Step 5: Solve for x
    x = 136,016,698,097.20/462,482.88
  6. Step 6: Final answer
    x = 294,101.04

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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.