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Finding the Fourth Proportional to 286,505.60, 430,217.40 and 227,829.20

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Solution

The fourth proportional to 286,505.60, 430,217.40 and 227,829.20 is: 342,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,505.60 : 430,217.40 = 227,829.20 : x
  2. Step 2: Convert to fraction form
    286,505.60/430,217.40 = 227,829.20/x
  3. Step 3: Cross multiply
    286,505.60x = 430,217.40 × 227,829.20
  4. Step 4: Simplify right side
    286,505.60x = 98,016,086,068.08
  5. Step 5: Solve for x
    x = 98,016,086,068.08/286,505.60
  6. Step 6: Final answer
    x = 342,108.80

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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.