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Finding the Fourth Proportional to 407,451.16, 611,282.34 and 154,735.96

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Solution

The fourth proportional to 407,451.16, 611,282.34 and 154,735.96 is: 232,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,451.16 : 611,282.34 = 154,735.96 : x
  2. Step 2: Convert to fraction form
    407,451.16/611,282.34 = 154,735.96/x
  3. Step 3: Cross multiply
    407,451.16x = 611,282.34 × 154,735.96
  4. Step 4: Simplify right side
    407,451.16x = 94,587,359,710.95
  5. Step 5: Solve for x
    x = 94,587,359,710.95/407,451.16
  6. Step 6: Final answer
    x = 232,144.04

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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.