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Finding the Fourth Proportional to 466,564.10, 698,809.35 and 404,356.10

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Solution

The fourth proportional to 466,564.10, 698,809.35 and 404,356.10 is: 605,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,564.10 : 698,809.35 = 404,356.10 : x
  2. Step 2: Convert to fraction form
    466,564.10/698,809.35 = 404,356.10/x
  3. Step 3: Cross multiply
    466,564.10x = 698,809.35 × 404,356.10
  4. Step 4: Simplify right side
    466,564.10x = 282,567,823,409.54
  5. Step 5: Solve for x
    x = 282,567,823,409.54/466,564.10
  6. Step 6: Final answer
    x = 605,635.59

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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.