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Finding the Fourth Proportional to 501,691.69, 692,288.37 and 297,707.47

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Solution

The fourth proportional to 501,691.69, 692,288.37 and 297,707.47 is: 410,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,691.69 : 692,288.37 = 297,707.47 : x
  2. Step 2: Convert to fraction form
    501,691.69/692,288.37 = 297,707.47/x
  3. Step 3: Cross multiply
    501,691.69x = 692,288.37 × 297,707.47
  4. Step 4: Simplify right side
    501,691.69x = 206,099,417,412.40
  5. Step 5: Solve for x
    x = 206,099,417,412.40/501,691.69
  6. Step 6: Final answer
    x = 410,808.91

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