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Finding the Fourth Proportional to 431,927.68, 648,078.64 and 232,014.82

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Solution

The fourth proportional to 431,927.68, 648,078.64 and 232,014.82 is: 348,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,927.68 : 648,078.64 = 232,014.82 : x
  2. Step 2: Convert to fraction form
    431,927.68/648,078.64 = 232,014.82/x
  3. Step 3: Cross multiply
    431,927.68x = 648,078.64 × 232,014.82
  4. Step 4: Simplify right side
    431,927.68x = 150,363,849,005.45
  5. Step 5: Solve for x
    x = 150,363,849,005.45/431,927.68
  6. Step 6: Final answer
    x = 348,122.74

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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.