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Finding the Fourth Proportional to 372,080.64, 513,484.80 and 213,135.36

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Solution

The fourth proportional to 372,080.64, 513,484.80 and 213,135.36 is: 294,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,080.64 : 513,484.80 = 213,135.36 : x
  2. Step 2: Convert to fraction form
    372,080.64/513,484.80 = 213,135.36/x
  3. Step 3: Cross multiply
    372,080.64x = 513,484.80 × 213,135.36
  4. Step 4: Simplify right side
    372,080.64x = 109,441,767,702.53
  5. Step 5: Solve for x
    x = 109,441,767,702.53/372,080.64
  6. Step 6: Final answer
    x = 294,134.54

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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.