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Finding the Fourth Proportional to 473,824.40, 710,736.60 and 287,200.40

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Solution

The fourth proportional to 473,824.40, 710,736.60 and 287,200.40 is: 430,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,824.40 : 710,736.60 = 287,200.40 : x
  2. Step 2: Convert to fraction form
    473,824.40/710,736.60 = 287,200.40/x
  3. Step 3: Cross multiply
    473,824.40x = 710,736.60 × 287,200.40
  4. Step 4: Simplify right side
    473,824.40x = 204,123,835,814.64
  5. Step 5: Solve for x
    x = 204,123,835,814.64/473,824.40
  6. Step 6: Final answer
    x = 430,800.60

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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.