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Finding the Fourth Proportional to 310,031.70, 465,047.55 and 110,577.30

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Solution

The fourth proportional to 310,031.70, 465,047.55 and 110,577.30 is: 165,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,031.70 : 465,047.55 = 110,577.30 : x
  2. Step 2: Convert to fraction form
    310,031.70/465,047.55 = 110,577.30/x
  3. Step 3: Cross multiply
    310,031.70x = 465,047.55 × 110,577.30
  4. Step 4: Simplify right side
    310,031.70x = 51,423,702,450.62
  5. Step 5: Solve for x
    x = 51,423,702,450.62/310,031.70
  6. Step 6: Final answer
    x = 165,865.95

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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.