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Finding the Fourth Proportional to 310,943.30, 466,530.15 and 299,423.30

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Solution

The fourth proportional to 310,943.30, 466,530.15 and 299,423.30 is: 449,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,943.30 : 466,530.15 = 299,423.30 : x
  2. Step 2: Convert to fraction form
    310,943.30/466,530.15 = 299,423.30/x
  3. Step 3: Cross multiply
    310,943.30x = 466,530.15 × 299,423.30
  4. Step 4: Simplify right side
    310,943.30x = 139,689,997,062.50
  5. Step 5: Solve for x
    x = 139,689,997,062.50/310,943.30
  6. Step 6: Final answer
    x = 449,245.88

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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.