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Finding the Fourth Proportional to 465,994, 698,813.40 and 166,418.64

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Solution

The fourth proportional to 465,994, 698,813.40 and 166,418.64 is: 249,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,994 : 698,813.40 = 166,418.64 : x
  2. Step 2: Convert to fraction form
    465,994/698,813.40 = 166,418.64/x
  3. Step 3: Cross multiply
    465,994x = 698,813.40 × 166,418.64
  4. Step 4: Simplify right side
    465,994x = 116,295,575,641.78
  5. Step 5: Solve for x
    x = 116,295,575,641.78/465,994
  6. Step 6: Final answer
    x = 249,564.53

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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.