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Finding the Fourth Proportional to 548,695.45, 757,458.61 and 412,781.25

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Solution

The fourth proportional to 548,695.45, 757,458.61 and 412,781.25 is: 569,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,695.45 : 757,458.61 = 412,781.25 : x
  2. Step 2: Convert to fraction form
    548,695.45/757,458.61 = 412,781.25/x
  3. Step 3: Cross multiply
    548,695.45x = 757,458.61 × 412,781.25
  4. Step 4: Simplify right side
    548,695.45x = 312,664,710,827.11
  5. Step 5: Solve for x
    x = 312,664,710,827.11/548,695.45
  6. Step 6: Final answer
    x = 569,832.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.