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Finding the Fourth Proportional to 433,772.82, 598,619.16 and 242,781.30

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Solution

The fourth proportional to 433,772.82, 598,619.16 and 242,781.30 is: 335,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,772.82 : 598,619.16 = 242,781.30 : x
  2. Step 2: Convert to fraction form
    433,772.82/598,619.16 = 242,781.30/x
  3. Step 3: Cross multiply
    433,772.82x = 598,619.16 × 242,781.30
  4. Step 4: Simplify right side
    433,772.82x = 145,333,537,869.71
  5. Step 5: Solve for x
    x = 145,333,537,869.71/433,772.82
  6. Step 6: Final answer
    x = 335,045.28

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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.