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Finding the Fourth Proportional to 430,857.61, 646,581.63 and 150,374.86

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Solution

The fourth proportional to 430,857.61, 646,581.63 and 150,374.86 is: 225,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,857.61 : 646,581.63 = 150,374.86 : x
  2. Step 2: Convert to fraction form
    430,857.61/646,581.63 = 150,374.86/x
  3. Step 3: Cross multiply
    430,857.61x = 646,581.63 × 150,374.86
  4. Step 4: Simplify right side
    430,857.61x = 97,229,622,089.82
  5. Step 5: Solve for x
    x = 97,229,622,089.82/430,857.61
  6. Step 6: Final answer
    x = 225,665.32

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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.