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Finding the Fourth Proportional to 432,913.40, 650,026.20 and 333,186.20

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Solution

The fourth proportional to 432,913.40, 650,026.20 and 333,186.20 is: 500,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,913.40 : 650,026.20 = 333,186.20 : x
  2. Step 2: Convert to fraction form
    432,913.40/650,026.20 = 333,186.20/x
  3. Step 3: Cross multiply
    432,913.40x = 650,026.20 × 333,186.20
  4. Step 4: Simplify right side
    432,913.40x = 216,579,759,478.44
  5. Step 5: Solve for x
    x = 216,579,759,478.44/432,913.40
  6. Step 6: Final answer
    x = 500,284.26

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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.