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Finding the Fourth Proportional to 307,224.48, 460,899.60 and 174,164.16

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Solution

The fourth proportional to 307,224.48, 460,899.60 and 174,164.16 is: 261,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,224.48 : 460,899.60 = 174,164.16 : x
  2. Step 2: Convert to fraction form
    307,224.48/460,899.60 = 174,164.16/x
  3. Step 3: Cross multiply
    307,224.48x = 460,899.60 × 174,164.16
  4. Step 4: Simplify right side
    307,224.48x = 80,272,191,678.34
  5. Step 5: Solve for x
    x = 80,272,191,678.34/307,224.48
  6. Step 6: Final answer
    x = 261,281.89

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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.