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Finding the Fourth Proportional to 468,535.40, 646,314.90 and 296,399.96

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Solution

The fourth proportional to 468,535.40, 646,314.90 and 296,399.96 is: 408,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,535.40 : 646,314.90 = 296,399.96 : x
  2. Step 2: Convert to fraction form
    468,535.40/646,314.90 = 296,399.96/x
  3. Step 3: Cross multiply
    468,535.40x = 646,314.90 × 296,399.96
  4. Step 4: Simplify right side
    468,535.40x = 191,567,710,507.40
  5. Step 5: Solve for x
    x = 191,567,710,507.40/468,535.40
  6. Step 6: Final answer
    x = 408,864.97

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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.