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Finding the Fourth Proportional to 310,915.40, 466,142.70 and 210,825.80

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Solution

The fourth proportional to 310,915.40, 466,142.70 and 210,825.80 is: 316,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,915.40 : 466,142.70 = 210,825.80 : x
  2. Step 2: Convert to fraction form
    310,915.40/466,142.70 = 210,825.80/x
  3. Step 3: Cross multiply
    310,915.40x = 466,142.70 × 210,825.80
  4. Step 4: Simplify right side
    310,915.40x = 98,274,907,641.66
  5. Step 5: Solve for x
    x = 98,274,907,641.66/310,915.40
  6. Step 6: Final answer
    x = 316,082.47

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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.