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Finding the Fourth Proportional to 614,153.16, 921,262.74 and 193,461.96

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Solution

The fourth proportional to 614,153.16, 921,262.74 and 193,461.96 is: 290,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,153.16 : 921,262.74 = 193,461.96 : x
  2. Step 2: Convert to fraction form
    614,153.16/921,262.74 = 193,461.96/x
  3. Step 3: Cross multiply
    614,153.16x = 921,262.74 × 193,461.96
  4. Step 4: Simplify right side
    614,153.16x = 178,229,295,355.37
  5. Step 5: Solve for x
    x = 178,229,295,355.37/614,153.16
  6. Step 6: Final answer
    x = 290,203.34

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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.