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Finding the Fourth Proportional to 397,323.52, 596,376.96 and 291,846.40

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Solution

The fourth proportional to 397,323.52, 596,376.96 and 291,846.40 is: 438,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,323.52 : 596,376.96 = 291,846.40 : x
  2. Step 2: Convert to fraction form
    397,323.52/596,376.96 = 291,846.40/x
  3. Step 3: Cross multiply
    397,323.52x = 596,376.96 × 291,846.40
  4. Step 4: Simplify right side
    397,323.52x = 174,050,468,818.94
  5. Step 5: Solve for x
    x = 174,050,468,818.94/397,323.52
  6. Step 6: Final answer
    x = 438,057.30

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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.