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Finding the Fourth Proportional to 631,429, 947,144.10 and 176,002.04

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Solution

The fourth proportional to 631,429, 947,144.10 and 176,002.04 is: 264,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,429 : 947,144.10 = 176,002.04 : x
  2. Step 2: Convert to fraction form
    631,429/947,144.10 = 176,002.04/x
  3. Step 3: Cross multiply
    631,429x = 947,144.10 × 176,002.04
  4. Step 4: Simplify right side
    631,429x = 166,699,293,773.96
  5. Step 5: Solve for x
    x = 166,699,293,773.96/631,429
  6. Step 6: Final answer
    x = 264,003.23

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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.