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Finding the Fourth Proportional to 499,709.77, 749,385.43 and 144,650.32

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Solution

The fourth proportional to 499,709.77, 749,385.43 and 144,650.32 is: 216,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,709.77 : 749,385.43 = 144,650.32 : x
  2. Step 2: Convert to fraction form
    499,709.77/749,385.43 = 144,650.32/x
  3. Step 3: Cross multiply
    499,709.77x = 749,385.43 × 144,650.32
  4. Step 4: Simplify right side
    499,709.77x = 108,398,842,252.84
  5. Step 5: Solve for x
    x = 108,398,842,252.84/499,709.77
  6. Step 6: Final answer
    x = 216,923.60

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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.