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Finding the Fourth Proportional to 321,903.10, 482,854.65 and 144,415.90

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Solution

The fourth proportional to 321,903.10, 482,854.65 and 144,415.90 is: 216,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,903.10 : 482,854.65 = 144,415.90 : x
  2. Step 2: Convert to fraction form
    321,903.10/482,854.65 = 144,415.90/x
  3. Step 3: Cross multiply
    321,903.10x = 482,854.65 × 144,415.90
  4. Step 4: Simplify right side
    321,903.10x = 69,731,888,848.94
  5. Step 5: Solve for x
    x = 69,731,888,848.94/321,903.10
  6. Step 6: Final answer
    x = 216,623.85

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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.