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Finding the Fourth Proportional to 497,234.40, 745,851.60 and 181,917.60

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Solution

The fourth proportional to 497,234.40, 745,851.60 and 181,917.60 is: 272,876.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,234.40 : 745,851.60 = 181,917.60 : x
  2. Step 2: Convert to fraction form
    497,234.40/745,851.60 = 181,917.60/x
  3. Step 3: Cross multiply
    497,234.40x = 745,851.60 × 181,917.60
  4. Step 4: Simplify right side
    497,234.40x = 135,683,533,028.16
  5. Step 5: Solve for x
    x = 135,683,533,028.16/497,234.40
  6. Step 6: Final answer
    x = 272,876.40

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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.