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Finding the Fourth Proportional to 486,497, 729,559.61 and 233,705.45

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Solution

The fourth proportional to 486,497, 729,559.61 and 233,705.45 is: 350,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,497 : 729,559.61 = 233,705.45 : x
  2. Step 2: Convert to fraction form
    486,497/729,559.61 = 233,705.45/x
  3. Step 3: Cross multiply
    486,497x = 729,559.61 × 233,705.45
  4. Step 4: Simplify right side
    486,497x = 170,502,055,788.35
  5. Step 5: Solve for x
    x = 170,502,055,788.35/486,497
  6. Step 6: Final answer
    x = 350,468.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.