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Finding the Fourth Proportional to 310,915.80, 466,373.70 and 236,266.20

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Solution

The fourth proportional to 310,915.80, 466,373.70 and 236,266.20 is: 354,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,915.80 : 466,373.70 = 236,266.20 : x
  2. Step 2: Convert to fraction form
    310,915.80/466,373.70 = 236,266.20/x
  3. Step 3: Cross multiply
    310,915.80x = 466,373.70 × 236,266.20
  4. Step 4: Simplify right side
    310,915.80x = 110,188,341,878.94
  5. Step 5: Solve for x
    x = 110,188,341,878.94/310,915.80
  6. Step 6: Final answer
    x = 354,399.30

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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.