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Finding the Fourth Proportional to 514,142.34, 770,705.03 and 243,794.92

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Solution

The fourth proportional to 514,142.34, 770,705.03 and 243,794.92 is: 365,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,142.34 : 770,705.03 = 243,794.92 : x
  2. Step 2: Convert to fraction form
    514,142.34/770,705.03 = 243,794.92/x
  3. Step 3: Cross multiply
    514,142.34x = 770,705.03 × 243,794.92
  4. Step 4: Simplify right side
    514,142.34x = 187,893,971,132.45
  5. Step 5: Solve for x
    x = 187,893,971,132.45/514,142.34
  6. Step 6: Final answer
    x = 365,451.27

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1.5x scale

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.