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Finding the Fourth Proportional to 468,046.54, 702,142.71 and 152,430.04

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Solution

The fourth proportional to 468,046.54, 702,142.71 and 152,430.04 is: 228,668.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,046.54 : 702,142.71 = 152,430.04 : x
  2. Step 2: Convert to fraction form
    468,046.54/702,142.71 = 152,430.04/x
  3. Step 3: Cross multiply
    468,046.54x = 702,142.71 × 152,430.04
  4. Step 4: Simplify right side
    468,046.54x = 107,027,641,371.01
  5. Step 5: Solve for x
    x = 107,027,641,371.01/468,046.54
  6. Step 6: Final answer
    x = 228,668.80

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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.