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Finding the Fourth Proportional to 414,510.50, 572,024.50 and 235,662.50

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Solution

The fourth proportional to 414,510.50, 572,024.50 and 235,662.50 is: 325,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,510.50 : 572,024.50 = 235,662.50 : x
  2. Step 2: Convert to fraction form
    414,510.50/572,024.50 = 235,662.50/x
  3. Step 3: Cross multiply
    414,510.50x = 572,024.50 × 235,662.50
  4. Step 4: Simplify right side
    414,510.50x = 134,804,723,731.25
  5. Step 5: Solve for x
    x = 134,804,723,731.25/414,510.50
  6. Step 6: Final answer
    x = 325,214.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.