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Finding the Fourth Proportional to 463,860.90, 695,890.53 and 144,005.76

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Solution

The fourth proportional to 463,860.90, 695,890.53 and 144,005.76 is: 216,039.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,860.90 : 695,890.53 = 144,005.76 : x
  2. Step 2: Convert to fraction form
    463,860.90/695,890.53 = 144,005.76/x
  3. Step 3: Cross multiply
    463,860.90x = 695,890.53 × 144,005.76
  4. Step 4: Simplify right side
    463,860.90x = 100,212,244,649.45
  5. Step 5: Solve for x
    x = 100,212,244,649.45/463,860.90
  6. Step 6: Final answer
    x = 216,039.43

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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.