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Finding the Fourth Proportional to 459,968.80, 689,953.20 and 160,349.80

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Solution

The fourth proportional to 459,968.80, 689,953.20 and 160,349.80 is: 240,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,968.80 : 689,953.20 = 160,349.80 : x
  2. Step 2: Convert to fraction form
    459,968.80/689,953.20 = 160,349.80/x
  3. Step 3: Cross multiply
    459,968.80x = 689,953.20 × 160,349.80
  4. Step 4: Simplify right side
    459,968.80x = 110,633,857,629.36
  5. Step 5: Solve for x
    x = 110,633,857,629.36/459,968.80
  6. Step 6: Final answer
    x = 240,524.70

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Similar ratio
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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.