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Finding the Fourth Proportional to 469,915.74, 703,985.85 and 364,217.22

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Solution

The fourth proportional to 469,915.74, 703,985.85 and 364,217.22 is: 545,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,915.74 : 703,985.85 = 364,217.22 : x
  2. Step 2: Convert to fraction form
    469,915.74/703,985.85 = 364,217.22/x
  3. Step 3: Cross multiply
    469,915.74x = 703,985.85 × 364,217.22
  4. Step 4: Simplify right side
    469,915.74x = 256,403,769,206.34
  5. Step 5: Solve for x
    x = 256,403,769,206.34/469,915.74
  6. Step 6: Final answer
    x = 545,637.75

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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.