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Finding the Fourth Proportional to 367,434.56, 507,046.70 and 206,296.40

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Solution

The fourth proportional to 367,434.56, 507,046.70 and 206,296.40 is: 284,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,434.56 : 507,046.70 = 206,296.40 : x
  2. Step 2: Convert to fraction form
    367,434.56/507,046.70 = 206,296.40/x
  3. Step 3: Cross multiply
    367,434.56x = 507,046.70 × 206,296.40
  4. Step 4: Simplify right side
    367,434.56x = 104,601,908,841.88
  5. Step 5: Solve for x
    x = 104,601,908,841.88/367,434.56
  6. Step 6: Final answer
    x = 284,681.74

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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.