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Finding the Fourth Proportional to 295,315.20, 407,393.28 and 193,295.76

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Solution

The fourth proportional to 295,315.20, 407,393.28 and 193,295.76 is: 266,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,315.20 : 407,393.28 = 193,295.76 : x
  2. Step 2: Convert to fraction form
    295,315.20/407,393.28 = 193,295.76/x
  3. Step 3: Cross multiply
    295,315.20x = 407,393.28 × 193,295.76
  4. Step 4: Simplify right side
    295,315.20x = 78,747,393,676.49
  5. Step 5: Solve for x
    x = 78,747,393,676.49/295,315.20
  6. Step 6: Final answer
    x = 266,655.40

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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.