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Finding the Fourth Proportional to 468,509.40, 646,535.14 and 253,647.72

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Solution

The fourth proportional to 468,509.40, 646,535.14 and 253,647.72 is: 350,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,509.40 : 646,535.14 = 253,647.72 : x
  2. Step 2: Convert to fraction form
    468,509.40/646,535.14 = 253,647.72/x
  3. Step 3: Cross multiply
    468,509.40x = 646,535.14 × 253,647.72
  4. Step 4: Simplify right side
    468,509.40x = 163,992,164,160.88
  5. Step 5: Solve for x
    x = 163,992,164,160.88/468,509.40
  6. Step 6: Final answer
    x = 350,029.61

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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.