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Finding the Fourth Proportional to 314,935.70, 472,403.56 and 310,513.10

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Solution

The fourth proportional to 314,935.70, 472,403.56 and 310,513.10 is: 465,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,935.70 : 472,403.56 = 310,513.10 : x
  2. Step 2: Convert to fraction form
    314,935.70/472,403.56 = 310,513.10/x
  3. Step 3: Cross multiply
    314,935.70x = 472,403.56 × 310,513.10
  4. Step 4: Simplify right side
    314,935.70x = 146,687,493,866.64
  5. Step 5: Solve for x
    x = 146,687,493,866.64/314,935.70
  6. Step 6: Final answer
    x = 465,769.66

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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.