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Finding the Fourth Proportional to 431,677.14, 647,121.24 and 151,041.30

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Solution

The fourth proportional to 431,677.14, 647,121.24 and 151,041.30 is: 226,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,677.14 : 647,121.24 = 151,041.30 : x
  2. Step 2: Convert to fraction form
    431,677.14/647,121.24 = 151,041.30/x
  3. Step 3: Cross multiply
    431,677.14x = 647,121.24 × 151,041.30
  4. Step 4: Simplify right side
    431,677.14x = 97,742,033,347.21
  5. Step 5: Solve for x
    x = 97,742,033,347.21/431,677.14
  6. Step 6: Final answer
    x = 226,423.93

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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.