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Finding the Fourth Proportional to 497,282.51, 745,918.26 and 297,658.61

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Solution

The fourth proportional to 497,282.51, 745,918.26 and 297,658.61 is: 446,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,282.51 : 745,918.26 = 297,658.61 : x
  2. Step 2: Convert to fraction form
    497,282.51/745,918.26 = 297,658.61/x
  3. Step 3: Cross multiply
    497,282.51x = 745,918.26 × 297,658.61
  4. Step 4: Simplify right side
    497,282.51x = 222,028,988,715.63
  5. Step 5: Solve for x
    x = 222,028,988,715.63/497,282.51
  6. Step 6: Final answer
    x = 446,484.62

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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.