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Finding the Fourth Proportional to 601,584, 830,213.12 and 333,312

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Solution

The fourth proportional to 601,584, 830,213.12 and 333,312 is: 459,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,584 : 830,213.12 = 333,312 : x
  2. Step 2: Convert to fraction form
    601,584/830,213.12 = 333,312/x
  3. Step 3: Cross multiply
    601,584x = 830,213.12 × 333,312
  4. Step 4: Simplify right side
    601,584x = 276,719,995,453.44
  5. Step 5: Solve for x
    x = 276,719,995,453.44/601,584
  6. Step 6: Final answer
    x = 459,985.63

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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.