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Finding the Fourth Proportional to 518,403.25, 777,649.43 and 144,426.25

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Solution

The fourth proportional to 518,403.25, 777,649.43 and 144,426.25 is: 216,651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,403.25 : 777,649.43 = 144,426.25 : x
  2. Step 2: Convert to fraction form
    518,403.25/777,649.43 = 144,426.25/x
  3. Step 3: Cross multiply
    518,403.25x = 777,649.43 × 144,426.25
  4. Step 4: Simplify right side
    518,403.25x = 112,312,990,267.41
  5. Step 5: Solve for x
    x = 112,312,990,267.41/518,403.25
  6. Step 6: Final answer
    x = 216,651.79

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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.