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Finding the Fourth Proportional to 459,743.80, 689,615.70 and 319,775.80

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Solution

The fourth proportional to 459,743.80, 689,615.70 and 319,775.80 is: 479,663.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,743.80 : 689,615.70 = 319,775.80 : x
  2. Step 2: Convert to fraction form
    459,743.80/689,615.70 = 319,775.80/x
  3. Step 3: Cross multiply
    459,743.80x = 689,615.70 × 319,775.80
  4. Step 4: Simplify right side
    459,743.80x = 220,522,412,160.06
  5. Step 5: Solve for x
    x = 220,522,412,160.06/459,743.80
  6. Step 6: Final answer
    x = 479,663.70

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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.