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Finding the Fourth Proportional to 598,394.77, 825,780.86 and 340,271.76

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Solution

The fourth proportional to 598,394.77, 825,780.86 and 340,271.76 is: 469,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,394.77 : 825,780.86 = 340,271.76 : x
  2. Step 2: Convert to fraction form
    598,394.77/825,780.86 = 340,271.76/x
  3. Step 3: Cross multiply
    598,394.77x = 825,780.86 × 340,271.76
  4. Step 4: Simplify right side
    598,394.77x = 280,989,906,606.51
  5. Step 5: Solve for x
    x = 280,989,906,606.51/598,394.77
  6. Step 6: Final answer
    x = 469,572.80

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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.