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Finding the Fourth Proportional to 463,528.50, 695,401.17 and 143,663.64

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Solution

The fourth proportional to 463,528.50, 695,401.17 and 143,663.64 is: 215,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,528.50 : 695,401.17 = 143,663.64 : x
  2. Step 2: Convert to fraction form
    463,528.50/695,401.17 = 143,663.64/x
  3. Step 3: Cross multiply
    463,528.50x = 695,401.17 × 143,663.64
  4. Step 4: Simplify right side
    463,528.50x = 99,903,863,342.46
  5. Step 5: Solve for x
    x = 99,903,863,342.46/463,528.50
  6. Step 6: Final answer
    x = 215,529.06

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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.