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Finding the Fourth Proportional to 598,533.20, 898,237.20 and 421,386.20

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Solution

The fourth proportional to 598,533.20, 898,237.20 and 421,386.20 is: 632,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,533.20 : 898,237.20 = 421,386.20 : x
  2. Step 2: Convert to fraction form
    598,533.20/898,237.20 = 421,386.20/x
  3. Step 3: Cross multiply
    598,533.20x = 898,237.20 × 421,386.20
  4. Step 4: Simplify right side
    598,533.20x = 378,504,760,406.64
  5. Step 5: Solve for x
    x = 378,504,760,406.64/598,533.20
  6. Step 6: Final answer
    x = 632,387.24

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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.