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Finding the Fourth Proportional to 434,235.04, 650,390.16 and 333,654.88

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Solution

The fourth proportional to 434,235.04, 650,390.16 and 333,654.88 is: 499,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,235.04 : 650,390.16 = 333,654.88 : x
  2. Step 2: Convert to fraction form
    434,235.04/650,390.16 = 333,654.88/x
  3. Step 3: Cross multiply
    434,235.04x = 650,390.16 × 333,654.88
  4. Step 4: Simplify right side
    434,235.04x = 217,005,850,787.98
  5. Step 5: Solve for x
    x = 217,005,850,787.98/434,235.04
  6. Step 6: Final answer
    x = 499,742.84

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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.