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Finding the Fourth Proportional to 598,805.40, 898,208.10 and 409,848.60

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Solution

The fourth proportional to 598,805.40, 898,208.10 and 409,848.60 is: 614,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,805.40 : 898,208.10 = 409,848.60 : x
  2. Step 2: Convert to fraction form
    598,805.40/898,208.10 = 409,848.60/x
  3. Step 3: Cross multiply
    598,805.40x = 898,208.10 × 409,848.60
  4. Step 4: Simplify right side
    598,805.40x = 368,129,332,293.66
  5. Step 5: Solve for x
    x = 368,129,332,293.66/598,805.40
  6. Step 6: Final answer
    x = 614,772.90

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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.