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Finding the Fourth Proportional to 563,573.63, 845,409.65 and 142,849.50

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Solution

The fourth proportional to 563,573.63, 845,409.65 and 142,849.50 is: 214,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,573.63 : 845,409.65 = 142,849.50 : x
  2. Step 2: Convert to fraction form
    563,573.63/845,409.65 = 142,849.50/x
  3. Step 3: Cross multiply
    563,573.63x = 845,409.65 × 142,849.50
  4. Step 4: Simplify right side
    563,573.63x = 120,766,345,083.43
  5. Step 5: Solve for x
    x = 120,766,345,083.43/563,573.63
  6. Step 6: Final answer
    x = 214,286.72

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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.