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Finding the Fourth Proportional to 310,307.40, 465,461.10 and 110,634.30

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Solution

The fourth proportional to 310,307.40, 465,461.10 and 110,634.30 is: 165,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,307.40 : 465,461.10 = 110,634.30 : x
  2. Step 2: Convert to fraction form
    310,307.40/465,461.10 = 110,634.30/x
  3. Step 3: Cross multiply
    310,307.40x = 465,461.10 × 110,634.30
  4. Step 4: Simplify right side
    310,307.40x = 51,495,962,975.73
  5. Step 5: Solve for x
    x = 51,495,962,975.73/310,307.40
  6. Step 6: Final answer
    x = 165,951.45

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1.5x scale

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.