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Finding the Fourth Proportional to 431,095.40, 646,643.10 and 150,576.20

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Solution

The fourth proportional to 431,095.40, 646,643.10 and 150,576.20 is: 225,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,095.40 : 646,643.10 = 150,576.20 : x
  2. Step 2: Convert to fraction form
    431,095.40/646,643.10 = 150,576.20/x
  3. Step 3: Cross multiply
    431,095.40x = 646,643.10 × 150,576.20
  4. Step 4: Simplify right side
    431,095.40x = 97,369,060,754.22
  5. Step 5: Solve for x
    x = 97,369,060,754.22/431,095.40
  6. Step 6: Final answer
    x = 225,864.30

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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.