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Finding the Fourth Proportional to 472,611.36, 708,709.68 and 176,916

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Solution

The fourth proportional to 472,611.36, 708,709.68 and 176,916 is: 265,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,611.36 : 708,709.68 = 176,916 : x
  2. Step 2: Convert to fraction form
    472,611.36/708,709.68 = 176,916/x
  3. Step 3: Cross multiply
    472,611.36x = 708,709.68 × 176,916
  4. Step 4: Simplify right side
    472,611.36x = 125,382,081,746.88
  5. Step 5: Solve for x
    x = 125,382,081,746.88/472,611.36
  6. Step 6: Final answer
    x = 265,296.38

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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.