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Finding the Fourth Proportional to 313,646.64, 432,737.01 and 177,658.98

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Solution

The fourth proportional to 313,646.64, 432,737.01 and 177,658.98 is: 245,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,646.64 : 432,737.01 = 177,658.98 : x
  2. Step 2: Convert to fraction form
    313,646.64/432,737.01 = 177,658.98/x
  3. Step 3: Cross multiply
    313,646.64x = 432,737.01 × 177,658.98
  4. Step 4: Simplify right side
    313,646.64x = 76,879,615,804.85
  5. Step 5: Solve for x
    x = 76,879,615,804.85/313,646.64
  6. Step 6: Final answer
    x = 245,115.38

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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.