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Finding the Fourth Proportional to 296,576.76, 409,259.76 and 175,729.20

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Solution

The fourth proportional to 296,576.76, 409,259.76 and 175,729.20 is: 242,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,576.76 : 409,259.76 = 175,729.20 : x
  2. Step 2: Convert to fraction form
    296,576.76/409,259.76 = 175,729.20/x
  3. Step 3: Cross multiply
    296,576.76x = 409,259.76 × 175,729.20
  4. Step 4: Simplify right side
    296,576.76x = 71,918,890,216.99
  5. Step 5: Solve for x
    x = 71,918,890,216.99/296,576.76
  6. Step 6: Final answer
    x = 242,496.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.