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Finding the Fourth Proportional to 463,530.60, 695,123.10 and 182,989.80

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Solution

The fourth proportional to 463,530.60, 695,123.10 and 182,989.80 is: 274,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,530.60 : 695,123.10 = 182,989.80 : x
  2. Step 2: Convert to fraction form
    463,530.60/695,123.10 = 182,989.80/x
  3. Step 3: Cross multiply
    463,530.60x = 695,123.10 × 182,989.80
  4. Step 4: Simplify right side
    463,530.60x = 127,200,437,044.38
  5. Step 5: Solve for x
    x = 127,200,437,044.38/463,530.60
  6. Step 6: Final answer
    x = 274,416.48

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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.