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Finding the Fourth Proportional to 219,276, 328,915.62 and 53,064

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Solution

The fourth proportional to 219,276, 328,915.62 and 53,064 is: 79,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,276 : 328,915.62 = 53,064 : x
  2. Step 2: Convert to fraction form
    219,276/328,915.62 = 53,064/x
  3. Step 3: Cross multiply
    219,276x = 328,915.62 × 53,064
  4. Step 4: Simplify right side
    219,276x = 17,453,578,459.68
  5. Step 5: Solve for x
    x = 17,453,578,459.68/219,276
  6. Step 6: Final answer
    x = 79,596.39

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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.