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Finding the Fourth Proportional to 472,455.77, 708,686.33 and 117,469.83

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Solution

The fourth proportional to 472,455.77, 708,686.33 and 117,469.83 is: 176,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,455.77 : 708,686.33 = 117,469.83 : x
  2. Step 2: Convert to fraction form
    472,455.77/708,686.33 = 117,469.83/x
  3. Step 3: Cross multiply
    472,455.77x = 708,686.33 × 117,469.83
  4. Step 4: Simplify right side
    472,455.77x = 83,249,262,121.07
  5. Step 5: Solve for x
    x = 83,249,262,121.07/472,455.77
  6. Step 6: Final answer
    x = 176,205.41

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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.