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Finding the Fourth Proportional to 501,248.62, 691,416.69 and 297,162.82

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Solution

The fourth proportional to 501,248.62, 691,416.69 and 297,162.82 is: 409,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,248.62 : 691,416.69 = 297,162.82 : x
  2. Step 2: Convert to fraction form
    501,248.62/691,416.69 = 297,162.82/x
  3. Step 3: Cross multiply
    501,248.62x = 691,416.69 × 297,162.82
  4. Step 4: Simplify right side
    501,248.62x = 205,463,333,395.47
  5. Step 5: Solve for x
    x = 205,463,333,395.47/501,248.62
  6. Step 6: Final answer
    x = 409,903.04

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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.