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Finding the Fourth Proportional to 551,544, 761,047.81 and 309,780.26

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Solution

The fourth proportional to 551,544, 761,047.81 and 309,780.26 is: 427,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,544 : 761,047.81 = 309,780.26 : x
  2. Step 2: Convert to fraction form
    551,544/761,047.81 = 309,780.26/x
  3. Step 3: Cross multiply
    551,544x = 761,047.81 × 309,780.26
  4. Step 4: Simplify right side
    551,544x = 235,757,588,454.23
  5. Step 5: Solve for x
    x = 235,757,588,454.23/551,544
  6. Step 6: Final answer
    x = 427,450.19

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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.