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Finding the Fourth Proportional to 617,023.72, 925,762.14 and 440,916.84

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Solution

The fourth proportional to 617,023.72, 925,762.14 and 440,916.84 is: 661,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,023.72 : 925,762.14 = 440,916.84 : x
  2. Step 2: Convert to fraction form
    617,023.72/925,762.14 = 440,916.84/x
  3. Step 3: Cross multiply
    617,023.72x = 925,762.14 × 440,916.84
  4. Step 4: Simplify right side
    617,023.72x = 408,184,117,360.44
  5. Step 5: Solve for x
    x = 408,184,117,360.44/617,023.72
  6. Step 6: Final answer
    x = 661,537.16

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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.