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Finding the Fourth Proportional to 565,339.50, 848,398.05 and 232,915.50

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Solution

The fourth proportional to 565,339.50, 848,398.05 and 232,915.50 is: 349,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,339.50 : 848,398.05 = 232,915.50 : x
  2. Step 2: Convert to fraction form
    565,339.50/848,398.05 = 232,915.50/x
  3. Step 3: Cross multiply
    565,339.50x = 848,398.05 × 232,915.50
  4. Step 4: Simplify right side
    565,339.50x = 197,605,056,014.78
  5. Step 5: Solve for x
    x = 197,605,056,014.78/565,339.50
  6. Step 6: Final answer
    x = 349,533.43

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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.