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Finding the Fourth Proportional to 463,663.80, 695,322.90 and 164,028.60

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Solution

The fourth proportional to 463,663.80, 695,322.90 and 164,028.60 is: 245,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,663.80 : 695,322.90 = 164,028.60 : x
  2. Step 2: Convert to fraction form
    463,663.80/695,322.90 = 164,028.60/x
  3. Step 3: Cross multiply
    463,663.80x = 695,322.90 × 164,028.60
  4. Step 4: Simplify right side
    463,663.80x = 114,052,841,834.94
  5. Step 5: Solve for x
    x = 114,052,841,834.94/463,663.80
  6. Step 6: Final answer
    x = 245,981.77

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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.