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Finding the Fourth Proportional to 286,830.40, 430,245.60 and 207,572.80

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Solution

The fourth proportional to 286,830.40, 430,245.60 and 207,572.80 is: 311,359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,830.40 : 430,245.60 = 207,572.80 : x
  2. Step 2: Convert to fraction form
    286,830.40/430,245.60 = 207,572.80/x
  3. Step 3: Cross multiply
    286,830.40x = 430,245.60 × 207,572.80
  4. Step 4: Simplify right side
    286,830.40x = 89,307,283,879.68
  5. Step 5: Solve for x
    x = 89,307,283,879.68/286,830.40
  6. Step 6: Final answer
    x = 311,359.20

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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.