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Finding the Fourth Proportional to 614,164.16, 921,279.24 and 193,472.96

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Solution

The fourth proportional to 614,164.16, 921,279.24 and 193,472.96 is: 290,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,164.16 : 921,279.24 = 193,472.96 : x
  2. Step 2: Convert to fraction form
    614,164.16/921,279.24 = 193,472.96/x
  3. Step 3: Cross multiply
    614,164.16x = 921,279.24 × 193,472.96
  4. Step 4: Simplify right side
    614,164.16x = 178,242,621,549.35
  5. Step 5: Solve for x
    x = 178,242,621,549.35/614,164.16
  6. Step 6: Final answer
    x = 290,219.84

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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.