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Finding the Fourth Proportional to 905,579, 1,358,415 and 231,666.14

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Solution

The fourth proportional to 905,579, 1,358,415 and 231,666.14 is: 347,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,579 : 1,358,415 = 231,666.14 : x
  2. Step 2: Convert to fraction form
    905,579/1,358,415 = 231,666.14/x
  3. Step 3: Cross multiply
    905,579x = 1,358,415 × 231,666.14
  4. Step 4: Simplify right side
    905,579x = 314,698,759,568.10
  5. Step 5: Solve for x
    x = 314,698,759,568.10/905,579
  6. Step 6: Final answer
    x = 347,511.11

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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.