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Finding the Fourth Proportional to 493,755.30, 740,817.39 and 194,444.51

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Solution

The fourth proportional to 493,755.30, 740,817.39 and 194,444.51 is: 291,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,755.30 : 740,817.39 = 194,444.51 : x
  2. Step 2: Convert to fraction form
    493,755.30/740,817.39 = 194,444.51/x
  3. Step 3: Cross multiply
    493,755.30x = 740,817.39 × 194,444.51
  4. Step 4: Simplify right side
    493,755.30x = 144,047,871,423.11
  5. Step 5: Solve for x
    x = 144,047,871,423.11/493,755.30
  6. Step 6: Final answer
    x = 291,739.39

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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.