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Finding the Fourth Proportional to 467,915.64, 645,723.60 and 253,055.64

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Solution

The fourth proportional to 467,915.64, 645,723.60 and 253,055.64 is: 349,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,915.64 : 645,723.60 = 253,055.64 : x
  2. Step 2: Convert to fraction form
    467,915.64/645,723.60 = 253,055.64/x
  3. Step 3: Cross multiply
    467,915.64x = 645,723.60 × 253,055.64
  4. Step 4: Simplify right side
    467,915.64x = 163,404,000,333.61
  5. Step 5: Solve for x
    x = 163,404,000,333.61/467,915.64
  6. Step 6: Final answer
    x = 349,216.80

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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.