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Finding the Fourth Proportional to 781,326, 1,078,236.36 and 423,630

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Solution

The fourth proportional to 781,326, 1,078,236.36 and 423,630 is: 584,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,326 : 1,078,236.36 = 423,630 : x
  2. Step 2: Convert to fraction form
    781,326/1,078,236.36 = 423,630/x
  3. Step 3: Cross multiply
    781,326x = 1,078,236.36 × 423,630
  4. Step 4: Simplify right side
    781,326x = 456,773,269,186.80
  5. Step 5: Solve for x
    x = 456,773,269,186.80/781,326
  6. Step 6: Final answer
    x = 584,612.91

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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.