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Finding the Fourth Proportional to 472,685.64, 652,314.99 and 257,833.41

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Solution

The fourth proportional to 472,685.64, 652,314.99 and 257,833.41 is: 355,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,685.64 : 652,314.99 = 257,833.41 : x
  2. Step 2: Convert to fraction form
    472,685.64/652,314.99 = 257,833.41/x
  3. Step 3: Cross multiply
    472,685.64x = 652,314.99 × 257,833.41
  4. Step 4: Simplify right side
    472,685.64x = 168,188,598,265.82
  5. Step 5: Solve for x
    x = 168,188,598,265.82/472,685.64
  6. Step 6: Final answer
    x = 355,814.91

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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.