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Finding the Fourth Proportional to 507,458.43, 700,262.49 and 277,969.89

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Solution

The fourth proportional to 507,458.43, 700,262.49 and 277,969.89 is: 383,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,458.43 : 700,262.49 = 277,969.89 : x
  2. Step 2: Convert to fraction form
    507,458.43/700,262.49 = 277,969.89/x
  3. Step 3: Cross multiply
    507,458.43x = 700,262.49 × 277,969.89
  4. Step 4: Simplify right side
    507,458.43x = 194,651,887,316.43
  5. Step 5: Solve for x
    x = 194,651,887,316.43/507,458.43
  6. Step 6: Final answer
    x = 383,581.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.