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Finding the Fourth Proportional to 431,045.57, 646,607.32 and 164,808.41

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Solution

The fourth proportional to 431,045.57, 646,607.32 and 164,808.41 is: 247,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,045.57 : 646,607.32 = 164,808.41 : x
  2. Step 2: Convert to fraction form
    431,045.57/646,607.32 = 164,808.41/x
  3. Step 3: Cross multiply
    431,045.57x = 646,607.32 × 164,808.41
  4. Step 4: Simplify right side
    431,045.57x = 106,566,320,658.50
  5. Step 5: Solve for x
    x = 106,566,320,658.50/431,045.57
  6. Step 6: Final answer
    x = 247,227.50

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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.