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Finding the Fourth Proportional to 463,455.72, 694,929.59 and 143,518.77

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Solution

The fourth proportional to 463,455.72, 694,929.59 and 143,518.77 is: 215,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,455.72 : 694,929.59 = 143,518.77 : x
  2. Step 2: Convert to fraction form
    463,455.72/694,929.59 = 143,518.77/x
  3. Step 3: Cross multiply
    463,455.72x = 694,929.59 × 143,518.77
  4. Step 4: Simplify right side
    463,455.72x = 99,735,440,352.20
  5. Step 5: Solve for x
    x = 99,735,440,352.20/463,455.72
  6. Step 6: Final answer
    x = 215,199.50

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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.