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Finding the Fourth Proportional to 284,815.40, 427,223.10 and 284,815.40

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Solution

The fourth proportional to 284,815.40, 427,223.10 and 284,815.40 is: 427,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,815.40 : 427,223.10 = 284,815.40 : x
  2. Step 2: Convert to fraction form
    284,815.40/427,223.10 = 284,815.40/x
  3. Step 3: Cross multiply
    284,815.40x = 427,223.10 × 284,815.40
  4. Step 4: Simplify right side
    284,815.40x = 121,679,718,115.74
  5. Step 5: Solve for x
    x = 121,679,718,115.74/284,815.40
  6. Step 6: Final answer
    x = 427,223.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.