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Finding the Fourth Proportional to 436,605.10, 654,907.65 and 384,117.10

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Solution

The fourth proportional to 436,605.10, 654,907.65 and 384,117.10 is: 576,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,605.10 : 654,907.65 = 384,117.10 : x
  2. Step 2: Convert to fraction form
    436,605.10/654,907.65 = 384,117.10/x
  3. Step 3: Cross multiply
    436,605.10x = 654,907.65 × 384,117.10
  4. Step 4: Simplify right side
    436,605.10x = 251,561,227,285.82
  5. Step 5: Solve for x
    x = 251,561,227,285.82/436,605.10
  6. Step 6: Final answer
    x = 576,175.65

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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.