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Finding the Fourth Proportional to 468,512.64, 702,059.40 and 310,173.84

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Solution

The fourth proportional to 468,512.64, 702,059.40 and 310,173.84 is: 464,791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,512.64 : 702,059.40 = 310,173.84 : x
  2. Step 2: Convert to fraction form
    468,512.64/702,059.40 = 310,173.84/x
  3. Step 3: Cross multiply
    468,512.64x = 702,059.40 × 310,173.84
  4. Step 4: Simplify right side
    468,512.64x = 217,760,460,006.10
  5. Step 5: Solve for x
    x = 217,760,460,006.10/468,512.64
  6. Step 6: Final answer
    x = 464,791.00

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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.