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Finding the Fourth Proportional to 604,384, 834,068.28 and 332,437.84

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Solution

The fourth proportional to 604,384, 834,068.28 and 332,437.84 is: 458,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,384 : 834,068.28 = 332,437.84 : x
  2. Step 2: Convert to fraction form
    604,384/834,068.28 = 332,437.84/x
  3. Step 3: Cross multiply
    604,384x = 834,068.28 × 332,437.84
  4. Step 4: Simplify right side
    604,384x = 277,275,857,415.72
  5. Step 5: Solve for x
    x = 277,275,857,415.72/604,384
  6. Step 6: Final answer
    x = 458,774.32

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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.