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Finding the Fourth Proportional to 284,810.22, 427,262.72 and 116,420.94

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Solution

The fourth proportional to 284,810.22, 427,262.72 and 116,420.94 is: 174,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,810.22 : 427,262.72 = 116,420.94 : x
  2. Step 2: Convert to fraction form
    284,810.22/427,262.72 = 116,420.94/x
  3. Step 3: Cross multiply
    284,810.22x = 427,262.72 × 116,420.94
  4. Step 4: Simplify right side
    284,810.22x = 49,742,326,907.25
  5. Step 5: Solve for x
    x = 49,742,326,907.25/284,810.22
  6. Step 6: Final answer
    x = 174,650.78

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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.