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Finding the Fourth Proportional to 459,640.80, 689,461.20 and 223,444.80

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Solution

The fourth proportional to 459,640.80, 689,461.20 and 223,444.80 is: 335,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,640.80 : 689,461.20 = 223,444.80 : x
  2. Step 2: Convert to fraction form
    459,640.80/689,461.20 = 223,444.80/x
  3. Step 3: Cross multiply
    459,640.80x = 689,461.20 × 223,444.80
  4. Step 4: Simplify right side
    459,640.80x = 154,056,519,941.76
  5. Step 5: Solve for x
    x = 154,056,519,941.76/459,640.80
  6. Step 6: Final answer
    x = 335,167.20

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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.