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Finding the Fourth Proportional to 461,596.59, 692,325.62 and 146,012.49

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Solution

The fourth proportional to 461,596.59, 692,325.62 and 146,012.49 is: 218,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,596.59 : 692,325.62 = 146,012.49 : x
  2. Step 2: Convert to fraction form
    461,596.59/692,325.62 = 146,012.49/x
  3. Step 3: Cross multiply
    461,596.59x = 692,325.62 × 146,012.49
  4. Step 4: Simplify right side
    461,596.59x = 101,088,187,484.48
  5. Step 5: Solve for x
    x = 101,088,187,484.48/461,596.59
  6. Step 6: Final answer
    x = 218,996.82

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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.