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Finding the Fourth Proportional to 456,655.84, 684,903.55 and 141,115.48

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Solution

The fourth proportional to 456,655.84, 684,903.55 and 141,115.48 is: 211,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,655.84 : 684,903.55 = 141,115.48 : x
  2. Step 2: Convert to fraction form
    456,655.84/684,903.55 = 141,115.48/x
  3. Step 3: Cross multiply
    456,655.84x = 684,903.55 × 141,115.48
  4. Step 4: Simplify right side
    456,655.84x = 96,650,493,211.95
  5. Step 5: Solve for x
    x = 96,650,493,211.95/456,655.84
  6. Step 6: Final answer
    x = 211,648.43

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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.