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Finding the Fourth Proportional to 310,946.95, 465,672.98 and 177,422.40

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Solution

The fourth proportional to 310,946.95, 465,672.98 and 177,422.40 is: 265,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,946.95 : 465,672.98 = 177,422.40 : x
  2. Step 2: Convert to fraction form
    310,946.95/465,672.98 = 177,422.40/x
  3. Step 3: Cross multiply
    310,946.95x = 465,672.98 × 177,422.40
  4. Step 4: Simplify right side
    310,946.95x = 82,620,818,170.31
  5. Step 5: Solve for x
    x = 82,620,818,170.31/310,946.95
  6. Step 6: Final answer
    x = 265,707.12

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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.