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Finding the Fourth Proportional to 434,518.70, 651,778.05 and 293,513.90

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Solution

The fourth proportional to 434,518.70, 651,778.05 and 293,513.90 is: 440,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,518.70 : 651,778.05 = 293,513.90 : x
  2. Step 2: Convert to fraction form
    434,518.70/651,778.05 = 293,513.90/x
  3. Step 3: Cross multiply
    434,518.70x = 651,778.05 × 293,513.90
  4. Step 4: Simplify right side
    434,518.70x = 191,305,917,389.90
  5. Step 5: Solve for x
    x = 191,305,917,389.90/434,518.70
  6. Step 6: Final answer
    x = 440,270.85

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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.