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Finding the Fourth Proportional to 434,143.80, 650,971.89 and 297,521.10

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Solution

The fourth proportional to 434,143.80, 650,971.89 and 297,521.10 is: 446,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,143.80 : 650,971.89 = 297,521.10 : x
  2. Step 2: Convert to fraction form
    434,143.80/650,971.89 = 297,521.10/x
  3. Step 3: Cross multiply
    434,143.80x = 650,971.89 × 297,521.10
  4. Step 4: Simplify right side
    434,143.80x = 193,677,872,781.88
  5. Step 5: Solve for x
    x = 193,677,872,781.88/434,143.80
  6. Step 6: Final answer
    x = 446,114.57

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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.