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Finding the Fourth Proportional to 565,339, 848,397.32 and 232,915

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Solution

The fourth proportional to 565,339, 848,397.32 and 232,915 is: 349,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,339 : 848,397.32 = 232,915 : x
  2. Step 2: Convert to fraction form
    565,339/848,397.32 = 232,915/x
  3. Step 3: Cross multiply
    565,339x = 848,397.32 × 232,915
  4. Step 4: Simplify right side
    565,339x = 197,604,461,787.80
  5. Step 5: Solve for x
    x = 197,604,461,787.80/565,339
  6. Step 6: Final answer
    x = 349,532.69

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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.