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Finding the Fourth Proportional to 310,573.17, 465,969.06 and 152,912.34

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Solution

The fourth proportional to 310,573.17, 465,969.06 and 152,912.34 is: 229,422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,573.17 : 465,969.06 = 152,912.34 : x
  2. Step 2: Convert to fraction form
    310,573.17/465,969.06 = 152,912.34/x
  3. Step 3: Cross multiply
    310,573.17x = 465,969.06 × 152,912.34
  4. Step 4: Simplify right side
    310,573.17x = 71,252,419,332.20
  5. Step 5: Solve for x
    x = 71,252,419,332.20/310,573.17
  6. Step 6: Final answer
    x = 229,422.33

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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.