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Finding the Fourth Proportional to 654,851.44, 903,614.16 and 413,042.68

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Solution

The fourth proportional to 654,851.44, 903,614.16 and 413,042.68 is: 569,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,851.44 : 903,614.16 = 413,042.68 : x
  2. Step 2: Convert to fraction form
    654,851.44/903,614.16 = 413,042.68/x
  3. Step 3: Cross multiply
    654,851.44x = 903,614.16 × 413,042.68
  4. Step 4: Simplify right side
    654,851.44x = 373,231,214,332.35
  5. Step 5: Solve for x
    x = 373,231,214,332.35/654,851.44
  6. Step 6: Final answer
    x = 569,947.92

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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.