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Finding the Fourth Proportional to 659,290.57, 909,713.15 and 433,216.33

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Solution

The fourth proportional to 659,290.57, 909,713.15 and 433,216.33 is: 597,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,290.57 : 909,713.15 = 433,216.33 : x
  2. Step 2: Convert to fraction form
    659,290.57/909,713.15 = 433,216.33/x
  3. Step 3: Cross multiply
    659,290.57x = 909,713.15 × 433,216.33
  4. Step 4: Simplify right side
    659,290.57x = 394,102,592,195.74
  5. Step 5: Solve for x
    x = 394,102,592,195.74/659,290.57
  6. Step 6: Final answer
    x = 597,767.68

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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.