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Finding the Fourth Proportional to 463,431.22, 695,159.01 and 147,887.80

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Solution

The fourth proportional to 463,431.22, 695,159.01 and 147,887.80 is: 221,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,431.22 : 695,159.01 = 147,887.80 : x
  2. Step 2: Convert to fraction form
    463,431.22/695,159.01 = 147,887.80/x
  3. Step 3: Cross multiply
    463,431.22x = 695,159.01 × 147,887.80
  4. Step 4: Simplify right side
    463,431.22x = 102,805,536,639.08
  5. Step 5: Solve for x
    x = 102,805,536,639.08/463,431.22
  6. Step 6: Final answer
    x = 221,835.59

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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.