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Finding the Fourth Proportional to 493,222.59, 739,389.59 and 177,457.32

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Solution

The fourth proportional to 493,222.59, 739,389.59 and 177,457.32 is: 266,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,222.59 : 739,389.59 = 177,457.32 : x
  2. Step 2: Convert to fraction form
    493,222.59/739,389.59 = 177,457.32/x
  3. Step 3: Cross multiply
    493,222.59x = 739,389.59 × 177,457.32
  4. Step 4: Simplify right side
    493,222.59x = 131,210,094,190.01
  5. Step 5: Solve for x
    x = 131,210,094,190.01/493,222.59
  6. Step 6: Final answer
    x = 266,026.12

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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.