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Finding the Fourth Proportional to 472,779.36, 708,961.52 and 177,084

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Solution

The fourth proportional to 472,779.36, 708,961.52 and 177,084 is: 265,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,779.36 : 708,961.52 = 177,084 : x
  2. Step 2: Convert to fraction form
    472,779.36/708,961.52 = 177,084/x
  3. Step 3: Cross multiply
    472,779.36x = 708,961.52 × 177,084
  4. Step 4: Simplify right side
    472,779.36x = 125,545,741,807.68
  5. Step 5: Solve for x
    x = 125,545,741,807.68/472,779.36
  6. Step 6: Final answer
    x = 265,548.27

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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.