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Finding the Fourth Proportional to 601,759.68, 830,434.91 and 329,821.62

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Solution

The fourth proportional to 601,759.68, 830,434.91 and 329,821.62 is: 455,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,759.68 : 830,434.91 = 329,821.62 : x
  2. Step 2: Convert to fraction form
    601,759.68/830,434.91 = 329,821.62/x
  3. Step 3: Cross multiply
    601,759.68x = 830,434.91 × 329,821.62
  4. Step 4: Simplify right side
    601,759.68x = 273,895,387,320.75
  5. Step 5: Solve for x
    x = 273,895,387,320.75/601,759.68
  6. Step 6: Final answer
    x = 455,157.43

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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.