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Finding the Fourth Proportional to 417,749.67, 576,794.12 and 256,820.49

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Solution

The fourth proportional to 417,749.67, 576,794.12 and 256,820.49 is: 354,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,749.67 : 576,794.12 = 256,820.49 : x
  2. Step 2: Convert to fraction form
    417,749.67/576,794.12 = 256,820.49/x
  3. Step 3: Cross multiply
    417,749.67x = 576,794.12 × 256,820.49
  4. Step 4: Simplify right side
    417,749.67x = 148,132,547,243.42
  5. Step 5: Solve for x
    x = 148,132,547,243.42/417,749.67
  6. Step 6: Final answer
    x = 354,596.44

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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.