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Finding the Fourth Proportional to 497,727.37, 745,428.45 and 457,537.14

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Solution

The fourth proportional to 497,727.37, 745,428.45 and 457,537.14 is: 685,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,727.37 : 745,428.45 = 457,537.14 : x
  2. Step 2: Convert to fraction form
    497,727.37/745,428.45 = 457,537.14/x
  3. Step 3: Cross multiply
    497,727.37x = 745,428.45 × 457,537.14
  4. Step 4: Simplify right side
    497,727.37x = 341,061,201,087.63
  5. Step 5: Solve for x
    x = 341,061,201,087.63/497,727.37
  6. Step 6: Final answer
    x = 685,236.98

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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.