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Finding the Fourth Proportional to 413,160, 620,002.17 and 176,504.46

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Solution

The fourth proportional to 413,160, 620,002.17 and 176,504.46 is: 264,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,160 : 620,002.17 = 176,504.46 : x
  2. Step 2: Convert to fraction form
    413,160/620,002.17 = 176,504.46/x
  3. Step 3: Cross multiply
    413,160x = 620,002.17 × 176,504.46
  4. Step 4: Simplify right side
    413,160x = 109,433,148,214.68
  5. Step 5: Solve for x
    x = 109,433,148,214.68/413,160
  6. Step 6: Final answer
    x = 264,868.69

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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.