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Finding the Fourth Proportional to 413,812.86, 620,706.96 and 114,311.40

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Solution

The fourth proportional to 413,812.86, 620,706.96 and 114,311.40 is: 171,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,812.86 : 620,706.96 = 114,311.40 : x
  2. Step 2: Convert to fraction form
    413,812.86/620,706.96 = 114,311.40/x
  3. Step 3: Cross multiply
    413,812.86x = 620,706.96 × 114,311.40
  4. Step 4: Simplify right side
    413,812.86x = 70,953,881,587.34
  5. Step 5: Solve for x
    x = 70,953,881,587.34/413,812.86
  6. Step 6: Final answer
    x = 171,463.69

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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.