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Finding the Fourth Proportional to 563,374.94, 845,063.85 and 142,650.86

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Solution

The fourth proportional to 563,374.94, 845,063.85 and 142,650.86 is: 213,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,374.94 : 845,063.85 = 142,650.86 : x
  2. Step 2: Convert to fraction form
    563,374.94/845,063.85 = 142,650.86/x
  3. Step 3: Cross multiply
    563,374.94x = 845,063.85 × 142,650.86
  4. Step 4: Simplify right side
    563,374.94x = 120,549,084,957.41
  5. Step 5: Solve for x
    x = 120,549,084,957.41/563,374.94
  6. Step 6: Final answer
    x = 213,976.65

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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.