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Finding the Fourth Proportional to 702,542.84, 969,271.24 and 457,415.68

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Solution

The fourth proportional to 702,542.84, 969,271.24 and 457,415.68 is: 631,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,542.84 : 969,271.24 = 457,415.68 : x
  2. Step 2: Convert to fraction form
    702,542.84/969,271.24 = 457,415.68/x
  3. Step 3: Cross multiply
    702,542.84x = 969,271.24 × 457,415.68
  4. Step 4: Simplify right side
    702,542.84x = 443,359,863,349.04
  5. Step 5: Solve for x
    x = 443,359,863,349.04/702,542.84
  6. Step 6: Final answer
    x = 631,078.76

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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.